Going to performance driving school. 2010 Z oil temp question

I have a 2010 370 touring/sport. I have read many many threads addressing the oil temp issue. There seems to be general agreement that for tracking, an oil cooler is needed.

Here is my question (actually 2):

1. How many people with 2010 Z's have had oil overheating problems?
2. Do I need an oil cooler to do a few laps on a track with an instructor?

I have no serious interest in racing (that could change after my course next spring). A Nissan Motorsports oil cooler costs $795 plus installation. I figure it will end up costing about $1,100 if I let the dealer do it (and I want to do that to avoid warranty issues). If I can avoid that expense it would be great.

I figure if I crash the car during the course I will tell the insurance company I was taking a safe driving course. Well, it is! Right? Right?

I need expert help here.