So very sorry for your loss. You definitely had an amazing team, Dr Garner is probably the most experienced reptile pathologist in the US, I recently saw him speak and he is brilliant.
To your question about contagion, squamous cell carcinoma is not contagious-but it IS a very nasty cancer that can and does spread to organs. What is being said in the comments is that SCC can be a result of a progression of the other conditions, including papillomas, which ARE contagious. Meaning a papilloma as it advances can "morph" into cancer. Therefore, it would be very helpful to know if there was any evidence of where or how the SCC developed. It is worth a call or email to Dr. Dahlhausen to ask his opinion as to whether or not it originated as a papilloma. Also histo samples are typically kept at least for some time, and they might be able to test the sample further to get this answer. That could answer your question as to whether or not you have any concerns about contagion and how aggressive you need to be in cleaning the cage. And of course the answer would be of great value to this forum.
As an aside, SCC can arise from environmental conditions as well. I had a frog that developed a nasty one his head a few weeks after a really bad air quality event due to wildfires a few years ago, pathologist said it was definitely the cause.
Either way, this is not something you could have done anything else about, and you are an AMAZING owner to persist and get to the bottom of it. Your new guy will be very lucky to have you!