If your developer machines don’t have access to regulated data, neither will Cursor. As far as I know none of those compliance frameworks have anything to do with your code, it’s about accessing data and how you promote your code to production
I’ve never used cursor. But Claude Code gives you the option of using AWS Bedrock hosted models - including Anthropomorphic. You can sign a BAA with AWS. Notice this is using Anthropic models through an AWS account - not directly from Anthropic.