The problem with bugs is not the bugs. It's what the bugs do. Bork up your database and the bug fix is not "minutes". (Especially if you don't notice for a while.) Piss off your customers and the bug fix is not "minutes". Screw up your money handling and the fix is not "minutes". (Well,
your part of the fix may be just one minute, though that minute will be "you're fired".)
If you've only ever encountered bugs that can be fixed in "minutes", you're either very lucky, or not working on anything all that important. Or possibly, not very perceptive and you've actually got a mess on your hands and you haven't realized it yet. I've inherited systems run by such people; they think everything's hunky dory but it turns out you can hardly figure out how to connect two records in the database together correctly because they were too smart for academic bullshit like referential integrity, and, lo, their database was low on the integrity. Tends to work, except the amount of elbow grease required increases without bound until it exceeds the capabilities of the developer in question, and suddenly, one day, they wake up and their job is in serious jeopardy because of what's going down and what they can't get back up.
You assert that this is the "older" style of thinking, which shows a lack of understanding of your computer programming history. What you advocate is "cowboy" thinking, and it predates what I'm discussing by quite a bit. The entire 1970s was basically run this way, and it shows in those handful of remaining technologies that are still with us, and their tendency to just pound through problems as if errors are an admission of failure.