The only relationship you can have between these is that a ticket with a "resolved" status can be used as a KPI, but you're trying to invert the relationship here, which doesn't work. After all, it's an indicator and not a causal relationship
"average time to resolution" is also susceptible.
Both of these are pretty common all over the place, including OSS e.g. https://isitmaintained.com/#metrics
I suspect this sort of thing is one of the major motivations for the (as a user/reporter) infuriating rise in automated "this bug hasn't been touched in NN days, autoclosing for staleness" bots on various issue trackers.
I’m not sure what to think about the auto-close bots. Which do you think would be more annoying as the person who made the report: having a report that just sits there forever and you just have to hope somebody decided to pick it up, or having the issue auto-closed? (I’m truly and honestly not sure). At least in the case of the former you have a clear marker for when you should try again. But getting rejected by a bot can definitely be annoying.