Nginx uses way less memory in most use-cases (1/4 to 1/10), but with dynamic content like php it is only slightly better (maybe 15% if lucky). Also, setting up websocket proxy in Nginx is still a bit of a bodge.
Each server type has its own trade offs, and a list of known mitigations the uninitiated must learn. If you have a single domain high-traffic site with static media files, than Nginx is probably going to matter more. =3