Jurisdiction risk for offshore funds?

I'd like to ask the seniors: I'm currently studying the establishment of offshore funds. Primarily, I'm interested in domiciliation in special economic zones like Cayman or BVI, but I'm still confused about the compliance risks that might arise later if I have to accept clients from many countries, or if the fund wants to invest in assets with different jurisdictional requirements. From what I've read, there are already strict AML/KYC rules, but sometimes I seem to hear them talk about the risk of double taxation or overlapping regulations from the investors' home countries or the countries of investment. Am I correct that this is a risk that needs serious consideration? And how do large companies usually manage this risk? Are there any useful checklists?