Mine loves her branch too!! I think as long as you have the room and the branch is thick enough to support them properly (and not too high off the ground) there's nothing wrong with letting them climb.

However, I thought I'd mention that she really needs 2 similar hides, one on each side of the tank, and those little stick on thermometer/hygrometers are way too high up on the sides. They should only be an inch or two off the ground, that way you'll get more accurate readings closer to where the snake actually is!

Obviously your snake looks healthy and it's up to you, but if it were me I'd put another hide in there on the cool side and move those dials down/invest in better ones