You sound like you use your machinery more than I use mine. I have a 16x40that I got 26 years ago for one offs and general repair parts. Often months will go by without my using it and other times I’ll be using it in all my spare time for a couple of weeks. BTw that is a picture of a 300 ton press. I got a good deal on some t-15 (about ten years ago) and have been using what I bought then whenever I think the time making the tooling would be worth it - which is not very often. BTW it came with a 3 jaw, a 4 jaw and a faceplate. They could have skipped the 3 jaw - I never use it.
I used a three jaw when I need to whip up something quickly and the runout won’t be any issue. Eventually, tho, I’ll get a 3-jaw set-true chuck, which has the advantages of both a scroll chuck and the ability to dial it in like a four jaw.
If that’s a 300 ton press, they must be able to apply that force across a large working area. I have a 50 ton H press that is rated to apply that 50T into one square inch, and I could fit it into the average walk-in bedroom closet.
16x40 is just about the ideal size to get into all manner of mischief that would cause liberals and henny-pennies heartburn. You could chamber .50 BMG bolt guns on that lathe just fine...