Bugs are the responsibility of the process that brought them there. In most cases it is shared responsibility.

Why doesn't your dentist mess up 1 out of 5 interventions? They have gone through years of strict training and there are giant liabilities in place.

In development? A lot of self-taught developers, who can always jump to a next gig because of never-ending demand. This sets up the scene for a totally different scenario - never-ending stream of bugs.

If you want your team to have less bugs, then as a manager make sure you have a process in place that optimizes for that. Start with your hiring process and add requirements for code quality practices. Then build a process that includes strict commit guidelines, documentation, code reviews and QA process. Most importantly, add time to estimates that ensures all of the above is checked properly. After all that is in place, define in a clear way some sort of liability for bugs.

Your dentist goes through all of that, why not your developers doing arguably equally important work?