Fair enough. I can't speak for all airplanes, but the ones I've flown have had the altimeter lag the VVI.
I'm speaking of jet aircraft. I don't really remember props.
Also, I remember referring to it as a VSI
Threads like this always make me wonder how many people are actually just guessing. I mean, I have 4000 hours of flight time but I have no clue about the nuances of the F-16 flight control system.