It's a cool exercise and it's certainly nice to play their techniques against themselves, just make sure the time you're putting into it won't affect your opportunity cost

How much is a day off work going to cost you? If you can save more than that by negotiating go ahead.

Let's say one day might shave you $1k off, but 2 days of effort might save you $1.5k, consider the diminishing returns. Or just consider it "education" or "entertainment"