Here is a code fragement, scrubed of all the company internal stuff:

sub getfile {
    my ( $url, $outfile, $options ) = @_;
    $options ||= {};

    # Default option values
    my $max_retries = $options->{'max_retries'} || 5;
    my $file_host   = $options->{'file_host'}   || $ENV{FILE_HOST} || 
+"file-host.companyname.internal";
    my $ua          = $options->{'ua'}          || LWP::UserAgent->new
+( keep_alive => 1, cookie_jar => {} );

    # Force to a positive integer.
    $max_retries = int($max_retries);
    $max_retries = 1 if $max_retries < 1;

    # Construct auth headers
    my %auth_headers = ();
    if( $options->{'basic_auth_creds'} )
    {
        %auth_headers = ( 'Authorization' => "Basic ".encode_base64($o
+ptions->{'basic_auth_creds'}) );
    }

    my ( $csum_type, $csum ) = csum_to_lookup($url);

    if ( $csum_type eq 'sha1' ) {
        $url         = "http://$file_host/getfile/" . $csum;
        $wanted_sha1 = $csum;
    }
    else {
        ...        # Look in the database to convert to SHA1
    }

    my $result;
ATTEMPT: foreach my $attempt ( 1 .. $max_retries ) {
        debug("attempt $attempt to get url: '$url'");

        my $f_out;

        # This will contain the sha1 of the downloaded data once the d
+ownload is complete
        my $digest = Digest->new('SHA-1');

        # NB: This uses the request method on LWP::UA, that takes an i
+nstance of HTTP::Request and a callback function.
        # See: https://metacpan.org/pod/LWP::UserAgent#ua-request-requ
+est-content_cb
        $result = $ua->request(
            GET($url, %auth_headers),    # Func exported from HTTP::Re
+quest::Common, returns an instance of HTTP::Request
            sub {
                my ( $data, $res ) = @_;
                if ( $res->is_success ) {
                    unless ($f_out) {
                        $f_out = open_outfile( $outfile, $nooverwrite 
+) or croak "unable to open $outfile\n";
                    }
                    print $f_out $data;
                    $digest->add($data) if defined $wanted_sha1;
                }
            },
        );

        unless( $result->request->uri->eq($url) )
        {
            print "$url has redirected to ".$result->request->uri."\n"
+;
        }

        # close file or flush the filehandle to disk
        # FIXME close or flush could fail (eg if insufficient disk spa
+ce). this should be bubbled up
        if (ref($outfile)) {
            $outfile->flush();
        }
        else {
            close $f_out if defined($f_out);
        }

        # For error messages if something goes wrong.
        my $resp_string = sprintf "%d - %s", $result->code, $result->m
+essage;

        # Check the downloaded data is what we expect
        # (Unless we have no checksum when downloading an arbitrary UR
+L)
        # TODO: this segment checks sha1 even if download fails - unne
+cessary warning!
        if ( defined $wanted_sha1 )
        {
            my $download_failed = 0;

            if( ! -f $outfile || 0 == -s $outfile )
            {
                unlink $outfile unless ref($outfile);
                warn "http downloaded failed ($resp_string): Wanted SH
+A1:$wanted_sha1 but got an empty file";
                $download_failed = 1;

            }
            elsif( $digest->hexdigest ne $wanted_sha1 ) {
                unlink $outfile unless ref($outfile);
                warn "http downloaded failed ($resp_string): Wanted SH
+A1:$wanted_sha1 but got:" . $digest->hexdigest;
                $download_failed = 1;
            }

            if( $download_failed ) {
                if( $attempt == $max_retries ) {
                    my $download_url = $result->request->uri;
                    my $hostname = $result->request->uri->host;
                    my $timestamp = scalar gmtime();
                    if( my $packed_ip = gethostbyname( $hostname  ) )
                    {
                        my $file_server_ip = inet_ntoa($packed_ip);   
+ # Using old style pure perl instead of a modern library
                        warn "$timestamp : Request was to $download_ur
+l on IP: $file_server_ip";
                    }
                    else
                    {
                        warn "$timestamp : Request was to $download_ur
+l but cannot resolve IP address for $hostname";
                    }
                }
                else
                {
                    next ATTEMPT;
                }
            }
        }

        if ( $result->is_success ) {
            last ATTEMPT;
        }
        else {
            unlink $outfile unless ref($outfile);
            carp "$url could not be retrieved - $resp_string\n";

            # Delay before the next attempt
            sleep 2**$attempt
                unless $attempt == $max_retries;
        }
    }

    return wantarray() ? ( $result->is_success(), $result ) : $result-
+>is_success();
}
[download]

FWIW, I think the most likely culprit will be a change in the version(s) of some module(s) between 5.24.0 and 5.24.1 - as already suggested by Anonymous Monk and localshop.

With Strawberry Perl the LWP version is at 6.15 in both 5.24.0 and 5.24.1, so we should be able to rule it out.
However, IO::Socket::SSL was bumped from 2.027 in Strawberry-5.24.0 to 2.043 in Strawberry-5.24.1.
And Net::SSLeay was bumped from 1.74 to 1.80.

I'd be inclined to update those 2 modules in Strawberry-5.24.0 to the version used in 5.24.1 and see if that fixes the issue.

Of course, there may be other relevant modules that were upgraded from 5.24.0 to 5.24.1, in which case you can continue on with the procedure if the Net::SSLeay and IO::Socket::SSL upgrades don't fix the issue ;-)

Cheers,
Rob