I have two turntables, both the same, SME model 10. One has my best stereo cartridge, and one my best mono cartridge. Currently, that mean a Benz Micro LP-S on the first (via SME Series V) and an Ortofon Cadenza Mono on the other (via SME Series IV). In a few days a modified Benz Micro Ruby 3 will come back, having been converted to mono. I think, and hope, it will wipe out the Cadenza Mono. We'll see.
I don't think there is any reason to pick a different kind of turntable for the best mono reproduction. The best you can afford will be the best in either case. I appreciate that if you buy a basic mono cartridge to try out you might mount it on a cheaper arm and table, and one day you will ask yourself if you are hearing what it is capable of, given the cheaper table/arm. So, unless you want to buy a second table just as good—the same—as your stereo table, interchangeable headshells are probably the way to go.