It really depends on the weapon design. Most bullpups to my knowledge possess an optical sight unit of some type or other. The iron sights are no more than a backup, usually mounted externally on the optical unit. This restricts the distance between rear and foresight to often only about six inches.
If however the front sight was positioned towards the muzzle of the weapon and the rear sight in it's customary position relatively close to the firer's eye, then automatically you have a more accurate iron sight.
As Paul inferred in the original post, it's not the weapon barrel, layout or operating mechanism that's really the problem, it's the sights. It's quite possible to have a bullpup sniper rifle just as accurate as a conventional layout.
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If it moves, shoot it, if not push it, if it still doesn't move, use explosives.
Nothing happens in isolation - it's called "the butterfly effect"
Mors ante pudorem
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