The chuck itself is just the driver, the important thing is the jaws with some caveats, I started with RS Patriot later added the Nova, then changed lathe so new spindle size caused a refocus. I had been using various chucks at the club, chose Axminster simply because they had a range of jaws that exceeded my perceived needs, I like the swap out carrier method of switching jaws, and the compatibility over years was a good plus.
I have used many different chucks over the years, most I have given little thought to as they had a set of jaws on them and I made a mortice or tenon that fitted used the chuck key to fit to the wood and cut, any failures in the years I have been turning have been my fault not the chucks.
I don't know about the more recent appearance of "cheaper" chuck kits, but if they are well made and grip the work piece then they get the job done.