Like others have said, it’ll work fine.
You may have seen either DC Rainmaker’s guide or other information on how to run TrainerRoad directly on the Peloton display. I’ve tried using a Peloton (at hotels and such) with my own pedals and finding a place to stick my phone, and sideloading it is going to work much better (or using a TV display or whatever; that works too).
Getting the fit correct, and having the fit match your outdoor bike, are both really worth the effort. It gets a little tougher in the crank lengths are different for the Peloton and the real bike, but at least be aware of the differences. Take notes for the fit settings for both you and your wife, and just make double-checking that part of your routine.
The feel with a spin bike or peloton (no free wheel, so momentum of the flywheel continues to move the pedals) is different from a bike with a freehub, but it doesn’t change the training stimulus much at all.