If I set my prices higher, I can't change it for my current customers. They will get mad. So I ahve to create a full logic on the backend for customers created after X date, etc. It is a mess.
If I set my prices lower (i.e., display lower prices on landing page, etc), my current customers will get mad at me if I don't change them for them too ("Why I am paying more than the price you are saying this costs?"), etc.
So for me, this strategy of A/B testing prices, find the right price, etc, has been always too complicated to implement. When I tried, I end up adding more problems to me to deal with, and at the end I couldn't analyze the trends I wanted it.