I have only heard of one brand/model of camera which has regular LCD problems and this was the Minolta 9000. They were very well built but you only very very rarely see one for sale now in any sort of condition because the LCD was it's Achilles heel. The 7000 model which was brought out a year or so before never had the same LCD problem. Your F3 has many years left.
The true weakness of the Minolta 9000 wasn't the LCD. It was horrible AF. Even the lower-end Maxxum 7000 focuses better. I have a 9000 with a pristine LCD that I can't use, the AF sucks that bad.
In life you only get one great dog, one great car, and one great woman. Pet the dog. Drive the car. Make love to the woman. Don't mix them up.