Not much more different than normal.
Your shells heat up their plasma just before firing. That means the shell is hot, and the maximum temperature of the shell is also the maximum temperature the plasma can take. That means any armor made out of that material would already resist the heat.
Other effects of the plasma could be from its compression: heat expands so we can assume the material you turn to plasma can be under pressure in the shell. Assuming a high pressure upon impact the shell will explode... which makes it a simple hot HE shell. I'm not 100% certain but the expansion rate of the plasma would be limited to the speed of sound meaning it would not be a high explosive and the mass of the expanding cloud would be more important. It would not be a great weapon against other tanks and likely not be any better than either a basic HE round or a specialized incendiary round.
One more option is to use it as a HEAT round. The shell will break specifically on the impact area but not shatter, causing a jet of plasma to get out into the target. The question then is: does the weight and velocity outweigh that of a copper core being liquified by explosives and simultaneously rammed into the target.
You'd need a very very special amount of circumstances to make this worthwhile. A material that expands immensely when it turns to plasma, a material that requires a lot of energy to heat up 1 degree, a method to dump all that energy in the shell quickly or vent the plasma into the shell just before firing and the right material for the shell to contain it while its fired and the right way to break apart.
For a semi-realistic sci-fi such weapons are A-OK, but if you aim for more realism then a plasma shell is not going to be much good. However its still 50 steps ahead of naked plasma bolts that uses magic magnetics to hold it together.