I think that some of you need to read the question carefully and think about how your bike actually works.
According to the SRAM website, 10speed Exact Actuation is 1:1, which is irrelevant anyway because the question is would the rear mech work.
In theory, if you were to buy SRAM 10sp shifters and cassette, then ANY rear mech would do the job as long as it pulled across the cassette at the correct angle and as long as the chain would run through. (I’m assuming that Sram haven’t completely changed the angle that their rear mechs pull, which seems unlikely to me.)
Cut through the marketing rubbish and that is all that is needed. Nothing to do with cable pull per click or ‘side to side movement of the chain per cable pull’ (huh?). Why would friction shifters work any better than the dedicated 10sp shifters given that any problem would be with the mech itself?
I would give it a go, mafiafish. The worst that could happen is that you need to buy a new rear mech if you aren’t getting good shifts. Of course it may not work as perfectly as a complete new 10sp system but that doesn’t mean it won’t work satisfactorily.
The same issue comes up every time 1 new cog is added, the same confusion every time.