I doubt that anyone would do it like that rather than spin - unless they either have no access to an extractor, have allowed the honey to crystallise, have heather honey (where 'cut and squeeze' is probably by far a superior method to 'pulp and heat') or are TBHers.
Surely it is simply 'no contest' if there is a spinner available , or someone is that short of honey they need to extract the odd frame.
From the way your question is framed I would only really be expecting those with that preference and 'spinner availability' to be responding directly.
If you mean "crush and strain" as opposed to actually melting, I do, as do most top bar hive users - it works well, is low-tech, simple and cheap, and if you have the patience to do it properly will remove at least 90% of the honey
I have done it a couple of times for the odd frame or 2 it seems to work well on the very small scale wax to the top honey to the bottom, having said that I think you have to be careful what temp you take the liquid mess to. The honey seems to taste okay though.