I'm not sure if I get why you would have two identical ends. Having two different diameter ends lets you use it in more situations by being able to flip it. In that sense, that was a feature of the original that I really liked.
As for the round end, I think it may be a problem, but I also think some people may love it. I'd be worried that the round end wouldn't hold up to repeated heavy hammer strikes, so that kind of kills this as a double ended tool. But for those guys working sheet metal with bossing hammers, this might be a nice way to get better reach into a deeply dished piece of metal (say inside a motorcycle tank).
If I were designing this, I'd also look for a way to keep it from rolling off a table.
I mentioned in the other thread that if you lengthened the collar a little, it would make a great deadblow carver's mallet. Even as drawn above, I think it would be pretty good. But rethinking that made me think of a more fundamental physics issue. You're planning on making a tool that transfers an impact, like the center ball in a Newton's cradle. A deadblow hammer works by setting the shot against the back of the hammer during the swing, and that shot then falls upon the inside of the hammer face following the impact. But the catch is that except as a carver's mallet, this isn't a tool you will be swinging. No swing, means the shot never gets reset to the back of the cavity, so the shot inside doesn't do anything useful (though it won't hurt, so that's ok I guess).