I see your point.
If it’s a modern JLC sports watch with alarm you are after then the thickness will be a problem.
The MCM and AM I are about the same thickness. The Pola and NSA are even thicker.
And I think that goes for almost every brands sports watches today.
None of them are able to “feel” like the MUT…
But I think if you try on some different sports watches you will get used to the idée of a thicker watch.
If you go to the dressier watches, the new Master Memovox or the MMI are thinner, but still…
If you back up some more and go for discontinued watches the Master Reveil and the Master Memovox manual are smaller.
I made a comparison photo;
MMM, MR, MMI, AM I, MCM, TTP 65, TTP 68, NSA.

About the alarm disk, yes some of us here don’t like the semicircle.
Personally I love it!
But that’s the good part about JLC, it’s like a candy store – one for each flavour.
Next watches you try on, maybe do it with strap instead of bracelet?
The bracelet adds some extra weight and enhances the “big and clumsy” feeling, IMO.

Best
Blomman
PS. The semicircle is found on the EWA as well.