Respond to them in the moment:
I will fix this right now (only if this won’t delay your road-mapped deliverables)."
This may be the worst idea I have read in over a year.
Just for starters, what's a new intern going to work on to get started with the system? What happens to someone's bugs when they leave? Or goes on holiday?
The policy described in the linked-to article is roughly equivalent to saying that every bug/issue must be passed to someone, who is in charge of that issue, including closing them.
The main difference is that there's a single tracker instead of "personal workload lists".
What happens to the workload on a personal list if the person is unexpectedly out of work for a month?
Now that I've read a bit more:
> Developers will only want to hear the same request so many times, before losing whatever is left of their sanity, and deciding to address the issue.
What happens if the stakeholder's sanity runs out first?