I found that if you setup the gibs correctly on the Grizzly (and any machine that uses gibs), the whole unit is very stable. It came pretty well decent but if you want absolute precision, you need to make a super precise tuning effort. Grizzly seemed to skimp where it was reasonable but not where it was important and with a mini lathe, well it's a mini lathe.
A new Grizzly also doesn't cost anywhere near a new one of any of the "preferred" brands, and they are very upgradeable while sold in a wide variety so you can focus your money where you need it. If you happen to have a big bad arse lathe, well of course you should probably keep it, if you're gonna use it and if you've got the space.
It's not like most people are helping out the American manufacturing either since most people are not rich enough to purchase a brand new US made unit and likely rarely buy brand new replacement parts directly from those American Manufacturers (because they're too expensive). So without paying them directly, you're just simply giving an American person selling a used machine some money or you're paying a few people that were involved in the final assembly, checks, shipping, and customer service that sold you that new Asian machine. Now if you bought a brand new US made machine, then bravo to you, thanks for keeping the US MFG alive and some may envy your cash flow.
You also have precision machined ways and all that with the Asian models but with a used machine of any type, it'll take some time to verify if you do or not. How well did the previous owner(s) handle the machine too and exactly how good of a machinist were they? Hand fixing all that can take a lot of time and depending on your skill level, you may make things worse. There is also usually a major weight difference depending on the class lathe you buy since the US doesn't really make mini lathes.
Bolting down the mini lathe seems key as well. Makes sense since the reason big lathes are so big is because they need to be heavy/solid otherwise you get chatter plus it's for industrial purposes so it holds industrial sized objects. If any lathe/rotational cutting tool has any wobble at it's base, you're gonna hate your results if you want them to be professional quality.
It all depends on your needs, space, money, skill, opportunity, and time. The truth is any good machinist can turn out solid product on any machine as long as it's solid with the proper tool and the part fits. I also chose to put my big money into a big mill while I've got a light investment in my mini lathe but that's what made sense for me