Hmmm ...
I'd be tempted to orientate the blade as a pull saw for two reasons. Firstly pushing an unsupported blade through material is going to veer wayward far more than pulling an unsupported blade, plus you are not compounding the cutting resistance with the spring resistance.
Aside from that, I'd say it would be worth trying at that price, even if it becomes one of those tool that sits in the toolbox for 10 years before the right job comes up for it