A turntable that plays all types of music well

Right Mr M.  A turntable just spins the disc.  It cannot have better sound quality for one musical genre over another.
If Whart reports correctly on Fremer, on this occasion Fremer is incorrect.

Now the cartridge - that a different kettle of fish.

Weirdly, my Linn/Akito rig will not play polka...just won’t...

Funny, my SOTA is able to.It sounded just like when we heard it live.
https://www.youtube.com/watch?v=scjeyiDbaoQ

But I suppose a SOTA plays MinneSOTA music as well as world music?

Hello,
I am going to say Origin Live. You can look at the website to see where your budget fits. I am really impressed with the owner. He has a strive towards perfection. Also, if you want to get a new arm they have great options. You are definitely set on your cart unless you want to ditch the phono stage all together. Just another option for you to look at. 

Clearthinker

That is what I am thinking as well. The TT itself can have a feature set that favors how the TT is used for (Example DJ, archiving, etc), however, I do not see the table itself favoring any genre of music. 

Weirdly, my Linn/Akito rig will not play polka...just won't...

Lol!