The problem is that
/.../g stores the match position in
pos($_), but it is not reset anywhere (because without the
/g the regex engine doesn't touch
pos at all, iirc). Since
$_ is just an alias to a particular array element, each element has its own pow().
If you add a print pos($strings[1]), "\n" in the loop (after the grep, in your first example) you'll see that it first prints 10, in the second iteration it's undef, then 10 again, then undef again.
So to summarize, a /.../g attaches state to a string, and confuses you if it's not reset. In the most common cases such as while (/foo/g) { ... } you always exhaust the matches until there is a failed match, resetting pos at the end and not causing confusion.
In Perl 6 this is avoided by storing the match position inside the match object, not associated with the string
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