I can definitively say "yes" on both counts.
I did a quick test a while back: I had a FED 2, Zorki 5 calibrated to Leica spec, and a Leica III to hand, so I thought I'd check how this works. You can see it for yourself quite easily.
First, make sure the FED (or Zorki) is perfectly calibrated for, say, a Jupiter or Industar lens, and your Leica is calibrated for a "true" LTM lens (I used a Summicron in this test). Then set up a test bench - a vertical object with a strong contrasty feature (I have a book that's perfect for this) and a 1m measure. Putting the FED with the film plane at 1m and focusing with the Jupiter should get you a perfect 1m reading; doing the same with the Summicron on a Leica will obviously give the same result.
But swap the lenses over and repeat, and all of a sudden, the distance scale on the lens will give you a different reading when the rangefinder is perfectly aligned at 1m. I just double-checked now, because I couldn't remember which way around it was; a Jupiter on a Leica will read about 1.1m on the distance scale at 1m, while an LTM lens on a FED will either read about 90cm or not be able to make the RF images match at 1m, depending on if your lens will go past 1m close focus or not.
This is easy to "fix", though - you can recalibrate the FED or Zorki to match a Leica lens by spinning the sled-shaped cam follower in the lens mount slightly. That adjusts the close-focus calibration - you'll need to then adjust the infinity, go back and recheck the close-focus, adjust infinity again, and so on until it agrees with a Leica lens at both ends of the scale. It's not hard to do, but it works; that's how I got a Zorki 5 to work perfectly with a Summicron. I actually suspect this may be why FEDs and Zorkis have that teardrop-shaped cam instead of the normal LTM wheel, as it allows you to choose which lenses you want to use. As a result, it's far easier to modify a FED in this way than to get take, for instance, a Canon out of spec to work with unmodified Jupiters.
Of course, the "problem" is that once you've done this, your Jupiters and Industars now behave on the FED or Zorki the same way they do on a Leica. It's obviously reversible, you just have to choose which lens specification is more useful to you. This is why I kept my FED as a "true" FSU body - gives me something to use my Jupiter 3 and Jupiter 9 on without issue.