Rest strokes seem harder at first. But, they are actually pretty much just as easy and have much better tone with a little practice.
Be sure to lift one finger as the other strikes.. At least this is my method for quick. Reliable rest strokes. Should have honed this skill a bit with old mac Donald.
However, I don't think anyone will chop your head off if you play free strokes. Rest stroked just tend to sound better, more full and more importantly they dampen the string above, which can often be really helpful.
I think we are supposed to learn to favor rest strokes primarily for their better tone.
Maybe post a video playing it both ways. It's a short little piece. If you can play it well and get a good sound with free strokes.. I say by all means, play how you want to. Just acknowledge that you are doing so.
I play with no nails.. And I often alter fingerings