Treatment and whether it is necessary or adequate depends on the cause of the swollen mouth which can be anything from hitting the enclosure to hard while striking (I have a few snakes doing that on feeding day when I walk in the room) to mouth injury such as scratch or bite from feeder that turn into an abscess (which require draining etc), to mouth rot etc.
What is the cause of the swelling? Is our vet experienced when it comes to reptiles?