So, which would sound better:
A state of the art $10K cartridge on a $500 table/arm or a good $500 cartridge on a $10K table/arm?
It’s a weird question, you’re trying to put together something very cheap and something very expensive.
Ask yourself who can afford a $10k cartridge and why ? A person who wishes to buy a $10k cartridge for a $500 turntable must be sick!
Now forget about retail prices, because on the secondhand market you will find something expensive for cheap (used), the price drop can be 50% (sometimes even more). If you will stay away from some popular brands like restored Garrard (for example) you can actually find some very nice turntables for a reasonable price (Denon DP-80 Direct Drive for example), same for vintage tonearms in perfect condition.
If we already have a very expensive turntable (new or vintage) with a nice tonearm (new or vintage) we can always find NEW or VINTAGE cartridges for that arm. A good vintage high-end cartridge (NOS sample) can put your overpriced new ultra high-end to the dust forever, this is where the price difference can be shockingly big, but a price/performance ratio is not that big at all ! It will break your concept, because your NEW $10k LOMC is overpriced while a $1k VINTAGE is underrated and not supported by manufacturers ads anymore (can be totally unknown to most of the audiophiles today).
A question like this makes no sense at all, because these numbers do not mean anything, except for a situation where you are standing in the audio shop in front of the new components and for some reason pretend that a new $500 turntable that look like a toy for your children is better with a $10k cartridge (or vise versa).
In the real world you can buy amazing turntables for under $3k and amazing high-end cartridges under $3k estimate (you can do it even for a half price:). But well matched components (tonearm/cartridge) are better.