Most chameleons do like to be handled and have to be if you want to tame them
I disagree to both your statements:
1. that most chameleons enjoy being handled by humans; and,
2. that they "have to enjoy being handled in order to tame them. It is quite possible to tame a very wild animal without ever taking its fear of you away.
See this thread for my argument against your first hypothesis (Message #7):
https://www.chameleonforums.com/threads/ug.154412/#post-1316107
Here is my rebuttal to your second hypothesis, that they must enjoy being handled to be tamed. On the contrary, they can be quite wild and fearful but still learn to become habituated to scary humand monsters.
When adult parrots were being imported in very large numbers, one very successful "taming" technique was to reward the parrot for allowing a human close
by retreating from it. Yes, you read that correctly.
Here is how it was done:
Terrified adult parrot on perch, preferably in walk-in cage.
Trainer approaches to parrot to the point where parrot begins to show stress. Parrots, unlike chameleons, are very very easy to note exactly where that line is. They will slick their feathers down tight, stand tall on their perch--all kinds of really obvious displays that are easily seen. That distance from the parrot is marked and the trainer retreats. So, now the trainer knows how close s/he can get to the parrot before it becomes uncomfortable.
The trainer moves to this mark and backs away immediately. The reward for the parrot is the human going away.
Next, the trainer moves closer to the parrot, but not close enough to trigger escape behavior and rewards the parrot by immediately retreating.
It helps is there is a way to offer a food reward without stressing the animal, but it can be done with the reward simply being the trainer backs out of that zone where the bird is uncomfortable but not so uncomfortable that it uses escape/avoidance behaviors.
Very soon the parrot learns that in order to get the scary monster human out of its space, it just has to allow said scary monster close. Eventually the parrot will allow handling and hopefully over time becomes habituated to the monster's presence and becomes tame since it has learned it has never been attacked/eaten by the monster in the past, it won't (likely) be eaten in the future.
That is how a wild animal can be tamed without it ever enjoying the presence of a human.