"Push" seems like a poor name for this. It doesn't imply anything other than calling the template from perl code, i.e. the same thing I referred to as "pipeline." What makes Template::Recall different is what it lacks: loops and conditionals. I'd refer to it as something like "substitution-only" templating. You could probably count all of the answers to "How can I expand variables in text strings?"
while you're at it.
I also wouldn't lump HTML::Seamstress and XMLC in with Template::Recall and StringTemplate. As you know, the former use an approach based on the HTML/XML document structure, while Template::Recall and CGI::FastTemplate do a much simpler regex-like substitutions.