Sounds like you're saying some confederate generals weren't really confederates with your Rommel distinction. And I 100% guarantee you Rommel was a member of the Nazi party.
I'm going out on a limb here, but the Nazi party was just that - a political party and, like most career military, Rommel was most likely technically a part member - just like there are Democrats and republicans.
The reason I hesitate here is that one can draw a (very loose) comparison between the Nazi party and any US political party - there are extremists that, if not reigned in, tend to shape not only the direction, but also the outside opinion of that party, but the majority of the members are not the extremists.
Military members tend to be more middle of the road regardless of what party they belong to.
Every single street/base/building/whatnot (that had a Nazi party connection) was renamed in Germany, then a discussion was held about what should be renamed again or put in context. In recent years, even more that was removed was replaced and a sign added explaining what happened.
But Rommel was different - they just named a base after him (after the war) and his son was the Mayor of Stuttgart. I suspect he was a member of the party as well as he wanted to join the Waffen SS but his father talked him out of it.
FWIW, Rommel was part of the failed coup to bring down Hitler.