Old cars can be such fun! I just did a '57 Chevy that was kind of "wavy", and I suspected too much paint film, so planned on stripping it from the start.

As it turns out, it had EIGHT paint jobs on it!!! It also had a lot of bodywork. I ground out, and redid anything that looked suspicious, such as plastic filler that was used over paint. Today many products are okay over paint, but not filler THAT old!

You seem to be on the right track. The recommended maximum number of paint jobs is three (including the new one), unless you are going with black, or want a show finish.