Actually, when I said "My .bashrc sets $PATH to Strawberry perl" I should have quoted my (now modified per ^2) .bashrc:

if [ -x /c/Strawberry/perl/bin/perl.exe ] ; then
 export PATH="/c/Strawberry/perl/bin:/c/Strawberry/c/bin:$PATH"
 export PERL5LIB=/c/Strawberry/perl/site/lib:/c/Strawberry/perl/vendor
+/lib
fi
[download]

So, my git bash is really using Strawberry Perl instead of MinGW's Perl that doesn't have CPAN