While I am explicitly avoiding the how, have any of you successfully been accepted to a batch while taking a job with industry overlap, but not application overlap by using pre-hire explicit PII agreements?

Or does it pose too many issues?

If you're talking about the YC batch. I think in all cases they force the founders to leave their job as a condition of acceptance and during the batch initially founders are forced to create a company, and suggested strongly to create their own binding IP agreements. AFIAK, future agreements that are signed for a future job cannot claim the past IP that you would create with your prior company.

If you are moonlighting durign the batch or after the batch and taking a job in the same industry, of course there are major concerns for your current founded company. Its extremely messy. In that specific situation you would need to be clear about your hours of work, separate computers, and a whole host of problems for the legal answer.

You potentially could be found personally liable as well if you are a founder of the company and putting your company at undue and known legal risk by taking another job in a related field which can have a claim over the company's IP.