In my younger days I was involved in a car accident, where through a combination of bad road-conditions and my inexperience, I skidded (aquaplaned?) into a car who had stopped on the road to turn in front of me. While both cars had extensive damage, thankfully no one was injured beyond needing a few pain-killers.
I got out of the car to check on the person I hit, and my impulse was to apologise profusely. However, I had been previously advised to never apologise after a car accident, so, despite the guilt I felt, I didn't. When it came to insurance claims and the like, I didn't deny that I was at fault in this case.
But my question is, why should you never apologise? Can your apology be later used as evidence against you, in either court or another form of dispute? Or is it just that it gives the other party the psychological upper hand?
Maybe it only applies to when the fault is less clear-cut? Would there have been any legal disadvantage to my apologising at this point given that I had no plans to dispute my culpability?