Thank you everyone for your responses, it's very helpful.
I've read here https://www.jacksonwhitelaw.com/immigration-law/how-to-sponsor-an-immigrant-friend that "Contrary to popular opinion, you are not liable for your immigrant friend’s personal debt, credit cards, or medical bills. As long as you ensure that he or she is not on the receiving end of means-tested government assistance programs, you are safe."
I was hoping to confirm that is the case. My partner (the US citizen who sponsored me) asked me to understand clearly what responsibilities we're signing for if we are sponsoring my parents.
