+1 to what RayC states. a CXA is just too darn big for 13" - Bigger is not always better.
I had a CXA that came with my 14" and I'm sorry you just can't take full advantage of the size tool bits a CXA can handle so there's the first compromise.
The Aloris BXA that I finally scored recently seems to me to be as Goldilocks stated - Just right.
And if you're hampered with budgeting issues a BXA is a lot cheaper to tool up...
About 10 years ago, there was an Atlas Lathe Forum that I used to frequently visit. A new fellow showed-up one day insisting his 10" TH42 lathe needed an 8" chuck because his 5" chuck was totally clapped-out. We advised him against it... He had all the answers and told us how he measured the distance between spindle center and top of ways and there was room for it to fit. He installed it as planned. One slight problem. When he mounted a 3/4" diameter rod in the chuck, the jaws were far enough out to hit the ways....
Bigger is not always better.
Another issue with large QCTPs on smaller machines, is that the drop-down projection of cutter position is very close (or possibly over-hanging) the left-most edge of the carriage. This can cause really nasty cases of chatter –even when taking light cuts. Ideally, the cutting action should take place as close to the center of the carriage as possible. This puts all the forces straight downward on the carriage. With all the forces happening on the left side, the right side lifts up, leading to a chatter condition. Been there, done that –and scratched my head a good long while to solve that mystery.
Ray
Man, this really makes a lot of sense. As soon as I hit "post reply", I am going to go move how I have mine mounted. When I was mounting my Phase II, I centered the body on my carriage - it just seemed like a natural choice. Noob mistake! Thanks Ray.