here we go to prove my theory

this works (in a wider sense ;):

use strict;
use warnings;
# https://perlmonks.org/?node_id=11137026


package Base;

use Data::Dumper;
sub AUTOLOAD {
    our $AUTOLOAD;
    warn "$AUTOLOAD => ", Dumper \@_;
}

#*UNIVERSAL::AUTOLOAD = \&AUTOLOAD;


package Bla;

*AUTOLOAD = \&Base::AUTOLOAD;           # aka Bla::AUTOLOAD

some_sub(1,2,3);



*Foo::AUTOLOAD = \&Base::AUTOLOAD;

Foo::some_sub(4,5,6)
[download]

-*- mode: compilation; default-directory: "d:/tmp/pm/" -*-
Compilation started at Wed Sep 29 12:33:29

C:/Strawberry/perl/bin\perl.exe -w d:/tmp/pm/universal_autoload.pl 
Name "Foo::AUTOLOAD" used only once: possible typo at d:/tmp/pm/univer
+sal_autoload.pl line 25.
Name "Bla::AUTOLOAD" used only once: possible typo at d:/tmp/pm/univer
+sal_autoload.pl line 19.
Bla::some_sub => $VAR1 = [
          1,
          2,
          3
        ];
Foo::some_sub => $VAR1 = [
          4,
          5,
          6
        ];

Compilation finished at Wed Sep 29 12:33:29
[download]

this horribly fails (please note also all those potential problems caused by UNIVERSAL::AUTOLOAD by triggering with intentionally undefined methods)

use strict;
use warnings;
# https://perlmonks.org/?node_id=11137026


package Base;

use Data::Dumper;
sub AUTOLOAD {
    our $AUTOLOAD;
    return if $AUTOLOAD =~ /::DESTROY$/; # ignore destruction *
    warn "$AUTOLOAD => ", Dumper \@_;
}

*UNIVERSAL::AUTOLOAD = \&AUTOLOAD;


package Bla;

*AUTOLOAD = \&Base::AUTOLOAD;           # aka Bla::AUTOLOAD

some_sub(1,2,3);



#*Foo::AUTOLOAD = \&Base::AUTOLOAD;

Foo::some_sub(4,5,6)
[download]

-*- mode: compilation; default-directory: "d:/tmp/pm/" -*-
Compilation started at Wed Sep 29 12:37:45

C:/Strawberry/perl/bin\perl.exe -w d:/tmp/pm/universal_autoload.pl 
Name "UNIVERSAL::AUTOLOAD" used only once: possible typo at d:/tmp/pm/
+universal_autoload.pl line 15.
Name "Bla::AUTOLOAD" used only once: possible typo at d:/tmp/pm/univer
+sal_autoload.pl line 20.
Bla::some_sub => $VAR1 = [
          1,
          2,
          3
        ];
Use of inherited AUTOLOAD for non-method Foo::some_sub() is no longer 
+allowed at d:/tmp/pm/universal_autoload.pl line 28.

Compilation exited abnormally with code 255 at Wed Sep 29 12:37:45
[download]

update

*) added, otherwise the output is littered with all objects with undefined DESTROY methods triggering AUTOLOAD.