the climbing rate gauge should have HUGE variations caused by atmosphere

[raaaid]

if i were to build a climbing rate gauge i would do it base on vertical angle of heading and air speed

but as this was made by science people i bet they linked the altitude gauge based on atmospheric pressure and its gradient be the climbing rate

but now think that when your flying your going from high to low pressure though you dont change altitude

so my question: shouldnt realistic altitude gauges oscillate A LOT both climbing rate and height?