I too firmly believe that any quality break-barrel design can equal any fixed barrel in basic mechanical accuracy. As well described above, many other factors: weight, balance, trigger, sights, etc. come into play when accuracy in real-world situations is involved.
Let's be honest though - there's a certain amount of psychology involved with our toys too! And there's not a thing wrong with that. If the idea of a break-barrel just plain bugs you...no problem, buy a fixed barrel and fret no more, LOL.
Veering off-topic a bit, but if the auto sprung detent breech latch is the detail that drives you crazy, you aren't alone. And there is another solution: break-barrels with a manually locked breech. The classic example is the evergreen Weihrauch HW 35, but the idea has been around since pre-war rifles from Haenel, FLZ, etc. Others in more modern times include the Anschutz 335, Haenel models 1 and 3, and Webley Omega sporters; Walther LGV (both classic target gun and recent sporter); Weihrauch HW 55 target rifle; and Diana 65/66 recoilless match rifles.
Another interesting advantage of these guns is that you can open and close the breech without the "pop" of a sprung detent, which some hunters like.