Are keyless chucks interchangeable ? Looking to replace.

I have this drill:

https://www.amazon.com/Milwaukee-2606-20-M18-Drill-Driver/dp/B00I3PODXE

and the chuck on it is garbage/no longer working. I found a replacement chuck for $23 which appears to be the same as original which sounds like a bad idea.  Can I replace it with a different model or brand and if so do you have any recommendations?

This is what they look like when you disassemble it to replace the gearbox after you try to cut a 4" hole through rectangular steel tubing:

jacobs makes chucks... words to live by..

As you can see from the disassembled picture above there is a locking screw inside the chuck, and the chuck is screwed onto  the output shaft. The output shaft on most drills is the same, 1/2"-20 on our stuff at work. You just need to find a chuck with a matching thread. As for what brand is good I can't help you with that. Milwaukie used to make a keyless ratcheting chuck for their 1/2" holeshooters. It works buy running the drill and hammers closed or open depending on which way you run it. Most people don't understand it and think its a piece of junk, and I don't know if they even make it anymore. By far the best drill chuck I've ever used, keyed or keyless.

What about this bad boy?

https://www.amazon.com/dp/B00899BF9Y/ref=psdc_8106518011_t2_B006UMFE30#customerReviews