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Umm, no. The Nano doesn't thermal throttle unless it basically has no real airflow at all, a very compact ITX or UATX case with few air holes and no active cooling would do it but I can't imagine any desktop case causing throttling.It depends on cooling. While the Nano is more capable, it suffers from thermal throttling in most cases.
I ran my Nano for a while in a small-ish Silverstone UATX case with no fans and the card didn't throttle even on +30% power.