That's very interesting. I do notice the difference in the force of pronunciation like you mentioned (computer vs. park), but doesn't that have more to do with the stress/emphasis of syllables and the vowel that follows H? For instance, a's and o's are usually stronger than i and u sounds. Also, if I was being forceful, I suppose I could still say "kom-PYOO-ter" with emphasis on the P.
In English, the sounds generally have to do with emphasis, but, believe it or not, in other languages, they're separate distinct sounds. It makes a difference whether or not a P is aspirated or not for what the word means.
It does have to do with the stress of the word, but not the specific vowel that follows. The link in the first post of this thread explains this. Essentially, the further the stress is from the beginning of the word, the weaker the H is. When the H is very weak, even though it is pronounced, many believe that it should be preceded by "an."
I’ve never heard of a “glutteral stop.” Methinks you’re conflating “gutteral” with “glottal.”
Me thinks your right. I also think that neither is what I meant in this context.