Pretty sure that's a push press you're talking about. Which is also a valid lift, but quite different.
The strict press (aka "press") doesn't have any leg drive going on. Some might disagree maybe (?), but as far as I know, that's how it is.
6'2", ~100kg (~220lbs). 40yo, training (with a few breaks) since my late 30s.
Squat 160kg (352.7lbs), Bench 112.5kg (248lbs), Deadlift 220kg (485lbs), Strict Press 75kg (165.3lbs)
My training log