I'm not sure how to properly phrase this, but I think the composition of an SOF team would depend on the level of its HQ. In other words, a unit controlled at the Army or Corps level would probably be very mixed, as per your example.
You could even push it one step further. I see SOF units of mixed nationality at the Corps level and above. For example, German 3rd Army would likely have a unit tasked with coastal recon, beach clearance, and raiding made up of U.S. SEALS and Marine Recon operators, British SBS, German SKS, etc.
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