Would #DeepSeek get banned in the USA in the near future?

It seems yes.  It's a great information gathering source for the Chinese government. It's privacy policy says it stores the user information on  servers located in China which it may share with the Chinese authorities:

"We store the information we collect in secure servers located in the People's Republic of China .
...
We may access, preserve, and share the information described in "What Information We Collect" with law enforcement agencies, public authorities, copyright holders, or other third parties if we have good faith belief that it is necessary to:

comply with applicable law, legal process or government requests, as consistent with internationally recognised standards..."
#DeepSeek