It sounds like you might be wanting to use albumartist rather than artist for the first part of your naming string (after genre)
I suspect your file name string would look something like:
%genre%/$swapprefix(%albumartist%)/$left($if2(%date%,%originaldate%,0000),4) - %album%/%artist% - %title%
Note that this is just off the top of my head and hasn’t been tested. You might also want to have a look at this thread:
And perhaps this one:
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