The appeal of the No. 1?
It has the grace and point-ability of a fine shotgun (there is a difference). No repeater that I own comes close (IMHO).
The action is only a couple of inches long. This makes the rifle shorter, and handier, than a bolt, or lever, or pump, or auto with the same barrel length.
The single shot tend to focus your attention to the shot at hand--you can make a quick follow up shot if you are well practiced. But if you are well practiced, you probably won't need to (Note: A No. 1 would NOT be my first choice for cape buffalo in the brush.).
So, yes, aesthetics is the reason. You don't buy a No. 1 as the low price option in a given chambering.