It is incredibly important in those industries, BUT...it is also for those same reasons more change-averse. Most (granted, not all) of the time, using the same software that worked just ok last year, is far safer than getting new software made.
The safest decision, 99% (but not 100%) of the time, is to cancel that software project before it goes to production, because if you've been successful up to now, by definition you have software that is Good Enough (if not good). So, in highly regulated industries, changing your software may very well be an unwise decision.
Not least because, if it's the same software the regulators were ok with last year, they probably won't fine you billions for using it this year.
Caveat to all of the above: "probably". But the chance of new software getting you into trouble is still higher.