I have a strong suspicion that Trump is wanting to do things during his presidency to ensure he has a “legacy”. He wants to have some big accomplishments that will make him standout more than some of the other presidents. Things like starting Space Force, wanting to add new states/territories/etc, I think it’s all about wanting a bigger legacy.
I haven’t looked into Deepseek specifically so I could be mistaken, but a lot of times when a model is called “open-source” it really is just open weights. You can download it or train other models off of it, but you can’t actually view any kind of source code on how the model works.
An audit isn’t really possible.