> Did your elementary school teacher make it clear whether you should pronounce the middle two t's in gotten as a glottal or a held stop?
Yes
> What do you think of that advice today?
It is a small part of my English enunciation.
> How might it vary depending on where in the anglophone world you live, and your age?
Significantly.
But I did not author a critique regarding English prose and the nature of prevalent sentence structures therein.