> One thing that I've observed is that the more errors there are, the less likely people will look at them

It can be even worse than that. At one point I worked on an app that generated north of 500 lines in the PHP error logs per minute per server. In the course of implementing a feature I cleaned up a few of the low hanging warnings near the code I was modifying. This resulted in about a 3 percent reduction in the log file velocity.

When we deployed to prod, everyone panicked, because log file velocity staying about the same was one of the primary things they alerted on, as a proxy signal for server health. That was the one and only time in my career I was reprimanded for cleaning up warnings.