No? Why would you think a datagram socket is UDP?
Presumably you're also using systems that don't support Unix Domain Sockets which can be configured as SOCK_STREAM, SOCK_DGRAM, and even gasp SOCK_SEQPACKET (equivalent to SOCK_DGRAM in this case admittedly).
“A rectangle is an equal-sided rectangle (i.e. “square”) though. That’s what the R stands for.”
“No? Why would you think a rectangle is a square?”
Just as not all rectangles are squares (squares are a specific subset of rectangles), not all datagram protocols are UDP (UDP is just one particular datagram protocol).