Just to reiterate what I've said earlier:
There are NO precision, quality, used lathes on the market that weigh below one ton. They have all disappeared into enthusiasts' hobby workshops.
There is NO market out there. Or, the prices are exorbitant. It's like looking for a 60s Ferrari or Lamborghini.
Concerning the Monarch 10 EE: this is the exception above one ton. Those have also been vacuumed from the market for hobby shops and are very expensive if OK.
Now if you want to go cheap, you'll need to start looking at lathes heavier than one ton. The more they weigh, the more the price approaches scrap value.
This leaves you with the immense problem of handling such heavy machines.
So, it's down to buying a new lathe. And the only ones really freely available are Chinese (this includes Wabeco, although they do their own assembly in Germany).
You'll just have to live with this.