Pretty much this. OP should consider that during the 6 months it might take to get to Mars, Mars moves considerably, yet that is no barrier to our getting there accurately. Getting to a nearby star is not dramatically different in terms of the complexity of physics. By comparison with achieving FTL travel, predicting the path of a nearby celestial body is trivial.

In terms of “what if something happens while en route,” FTL travel would make that less of a problem rather than more. 25 years is a smaller proportion of a star’s lifetime than 25,000 years, so there is 1000x less of a chance of some major stellar event — and even 25,000 years is still very little and unless it’s Betelgeuse the likelihood of a (super)nova would be almost zero for most stars.