That's in rough shape for sure.
Were that mine, the first thing I'd do is clean the thing as well as you can. Then color the WHOLE thing with a sharpie. With plenty of time for that to dry, turn on the drill, and starting at the top, moving to the bottom, GENTLY, run a fine stone down it. 600, 800, 1000, something very fine. And don't well. The ONLY purpose of that is to "mark" the high spots, IF the high spots match up to where there's errors as gross as 0.012 inches, then you "Probably" could gently stone those down some. And if the inside of the chuck looks like it's the culprit that went around that taper (probably repeatedly), then the chuck needs replacement. I've patched up several to very acceptable runout for a drill press, by just this method. I've also had fails. It depends what happened, how bad it is, what "else" happened, all that stuff. But the blue, the stone (lightly, just to find high spots), and your micrometer all work together to paint a picture of exactly what the damage is.
This is NOT a guaranteed fix, however, it's served me well. That spindle has had a hard life, I'm NOT suggesting trying to regrind it in place, but if the boogered up raised spots came down to the "global average", you are in no way compromising it's ability to be reground or repaired. The little "hollows" won't bother, it's the high spots that prevent it from staying in place.
Again, gently and carefully. You will NEVER reshape that with a stone. And if it's truly bent, you will NEVER straighten it with a stone. You'll actually make it worse. Stoning is for individual high spots. only.
You may or may not know this, but that thread on there is for a Jacobs 33C. That's a 33 taper plus a locking collar. They were put on drill presses that were pushing the edge of what that size taper should be used for. The last chuck out there which has that feature is a Jacobs model 34-33C, and the prices are all over the map. If you end up needing one, check EVERYWHERE. Prices are all over the map, and constantly changing, which smells terribly of obsolescence and old stock drying up.