if you read the RFC that defines UUIDs, and which is linked to from the API docs, you’ll see that not all bits of the UUID are actually random (the “variant” and the “version” are not random). so a type 4 UUID (the kind that you intend to use), if implemented correctly, should have 122 bits of (secure, for this implementation) random information, out of a total size of 128 bits.
so yes, it will work as well as a 122 bit random number from a “secure” generator. but a shorter value may contain a sufficient amount of randomness and might be easier for a user (maybe i am the only old-fashioned person who still reads email in a terminal, but confirmation URLs that wrap across lines are annoying….).