On the off chance that we are all wrong and you are not just attributing the distorted solo tone as compression...
Are you switching to your solo tone using a scene? Have you checked by any chance whether the compressor block turned back on when you pulled up the new scene. By default every new scene will probably turn it back on.
Otherwise, yes, are more distorted tone is a more compressed tone by default, and it is a common tendency/mistake to use more gain with modelers than you would actually use with tube amps.