Think of it like this. Since propagation is almost always changing, and since there is never a 'perfect' antenna in relation to all the varying conditions, and since take-off angles can change with the height above ground, and ya-da ya-da ya-da, having the most height you can ~reasonably~ get for your antenna isn't a bad idea at all. I would love to have every antenna I have at 200 feet! But I know that is just never going to happen for a number of reasons. The least of those reasons is I certainly don't plan to run feed lines that high, and I @#$ sure ain't gonna climb it if someone were generous enough to give the thing to me! Besides, where I live, where would I put it?
The minimum height for almost every antenna you can think of is high enough so that you normally can't 'clothes-line' your self with it, and just a little bit more, sort of. It won't work 'perfectly' every time in that position, but nothing does anyway, so what's the difference. A 1/4, 1/2, or full wave length are nice goals to aim for but certainly not 'THE' answers.
- 'Doc