This prints "1 error 3" for me with PostgreSQL, as I'd expect. I don't have ODBC handy to check. 
#!perl -w
$|=1;
use strict;

use DBI;
my $dbh=DBI->connect('dbi:Pg:dbname=test1');
$dbh->{PrintError}=0;
$dbh->do('junk');
print "1";
eval {
    local $dbh->{RaiseError}=1;
    $dbh->do('junk');
    print "2";
};
print " error " if $@;
$dbh->do('junk');
print "3";

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In reply to Re^3: Toggling dbi attribute within a connection? by jZed
in thread Toggling dbi attribute within a connection? by JupiterCrash

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