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IME (which is nowhere near exhaustive) chain, cassette (& indexed shifter if that's your bag) need to be made to do the same job. In the case of 11sp and above, the mechs themselves have different pull requirements to achieve the same lateral movement, but 6-10 should all be interchangeable pull wise - i.e. the total cable pull from top to bottom cog.
I may come undone on this in the very near future!
10sp chain, Short cage Shimano Shadow 9sp mech with aftermarket extender thingy. Friction shifter.