Many routers are configured to prioritize tcp over any form of UDP
Every now and then, I hear this, but I have not seen any actual data or evidence of this being the case.
UDP is used for voice-over-IP, which is a large, important technology for the backbone carriers (that carry telephony and internet data interchangeably.)
UDP is also needed for DNS look-ups, which happen before most TCP connections even start; a slow DNS resolver is a more visible source of "slowness" to a user than almost any other reason!
I would be highly surprised if it was general behavior on the internet to drop UDP and favor TCP.