For a particular model, flying above the model's cruising altitude should lead to lower fuel efficiency.
https://en.m.wikipedia.org/wiki/Turbofan
Did you mean turboprop?
If you’re talking about friction… oooh that’s an interesting one. Intuitively yes. But is it also negligible?
Thrust itself decreases because there are also fewer molecules to push against, so it can get quite complicated if you want to account for everything. But overall it is easier to fly faster higher up in the atmosphere. Also, atmospheric currents are important.
There is a useful discussion here: https://aviation.stackexchange.com/questions/57209/how-does-...
...and indeed it does. Here is a discussion https://aviation.stackexchange.com/questions/24641/what-is-t...