Maybe. At a first glance, I'd say no as well, but it's really an empiric question.
As a counterpoint, consider helmets in American football. There is some ongoing research (and of course, controversy) about helmet use in the sport. The helmets are designed to reduce skull fractures, but are commonly believed to reduce concussions as well, which they don't. In fact, the research has the counterintuitive result that concussions have increased since helmet use became widespread. It could be due to the way the helmet changes the physics of a head hit, but this is unlikely. The most likely explanation is that hard helmets have given players a false sense of security, which has lead to more aggressive and dangerous behavior, hence the increase in concussion rates.
This is quite analogous to the question posed by the OP, and to your example of seat belts. I don't know the answer to any of the 3 cases, and if I were a gambling man I'd say computers are overall helpful (I use one myself, after all). My point is that questions like these are deceptively deep and complex, sometimes the obvious-looking answer ends up being incorrect.