a new bumper itself aint cause for concern unless its hiding any crash damage but these small mouth jobbies give absolutely bugger all air flow to the oil cooler and intercooler so then you could bang on about whether the cars suffered for that lack of cooling over the time its had that bumper. that one is getting no head on air flow but of course a large FMIC and moving the oil cooler would alleviate the problem. from those photos you cant tell what its had done to it.
if fiat sent some out of the factory like that then i'll eat my hat.
do your checks and youll be fine if everything comes up ok.
for 1250 id want it with the correct wide mouth bumper . maybe its a 55 conversion with GT engine etc?