Glottalized is not the same sound as dropped or flapped. The American English dropped t's in these examples are either completely dropped, or pronounced as a (weak) flap. If not completely dropped, the t in "button" would usually be a flap, almost the same sound as the r in Spanish "cara". The final t in "wait" would most likely be an unreleased stop, if pronounced at all. Both regular and flapped t are articulated towards the front of the mouth, whereas glottalization happens the very back.

See https://en.wikipedia.org/wiki/Flapping and https://en.wikipedia.org/wiki/T-glottalization