Do international internships help my MBA application?

I’m currently a Sales & Marketing intern at a hotel chain in Asia, and I’m planning to intern as an Analyst or IB in an investment banking firm in the Middle East.

I really want to apply to deferred MBA programs, like Harvard’s 2+2, but all other applicants I see have internships at large companies like MBB or the big 4.

Am I cooked? Is it better to get a top internship in the US than mid internships abroad?

PSA: I’m an international student studying in the US so I legally can’t do a US internship.