Hmm to each their own, I suppose. I got a PSI Barracuda as a second chuck (with extra jaws) to supplement my original (no-name import) that came with my used HF lathe, which was a Tommy Bar chuck. I find that I actually prefer the tommy bar chuck over the key style.
Oddly enough, appears my no-name tommy bar chuck (with just one set of dovetail jaws) appears to have an insert so I could just get an insert (assuming I can find any) - However, I strongly suspect , given what I believe of Wood River brand's origins, it probably would use the same insert as my no-name chuck does, so probably most any generic brand adapter would fit - I do believe (Hockenberry may know) One Way has a very nice adapter that can put a 1 inch chuck onto a 1-1/4 lathe spindle....