Is Principle Lewis actually Roger?

I haven’t seen many people talk about this, but you know how each family member has a persona they can’t tell is Roger? Well I believe Principal Lewis is his ultimate persona that no one can tell is him. The main smoking gun is how insane Lewis can be and it really mirrors how Roger is. He is the only character that does just as crazy stuff as Roger with no repercussions (like Roger). The more and more I look at Lewis through this lens, the more I’m convinced it’s Roger. We’ve seen two of his personas in the same exact scene before, and the amount of times they’ve been in the same room is very minimal. Lewis is just as obsessed with drugs, sex, partying, dressing up, revenge, the family, outbursts, and anything else you can think of that Roger enjoys too. Sorry if this has already been mentioned but I couldn’t find anything on it and I’d love to hear any other reasons you may think this too! (The episode where Lewis was gonna drive him and Steve off the cliff is one that comes to the front of my mind for being incredibly Roger coded)