I believe the main issues are weight and cost. Cost has already been addressed here.
Weight - Stainless in general has a lower yield stress compared to steel.
For example, 304 (common stainless) has a yield stress around 30 ksi, while 4130 (steel for tanks) has a yield stress of about 65 ksi.
The weight of the tank is directly proportional to the wall thickness, which is inversely proportional to the design hoop stress (in a simplified way).
If the yield stress goes from 65 ksi -> 30 ksi, you'd expect the stress in the walls at operating pressure to be reduced the same factor (2.2).
Therefore the weight would go up by that same factor, and your 30 lb steel 72 just became a 65 lb stainless 72.
Note that the densities of 304 and 4130 are nearly identical.
Your tank also became ~30 lb negatively buoyant!