Or not to.
Its simple, if your monitor accepts you doing so then its fine sometimes to do so.
BUT, if you have most monitors the only reasons to handle them are if you need to move them, to take them to a vet, or to check closely for something unusual.
I have a few monitors that are great examples, Sobek seems to seek me for attention, but my ackies are somewhat tolerant, my flavi-argus can de very dangerous and flighty to be handled, so why push the subject. If I handle those that do not want to be, our relationship goes down the crapper, why make the hate me, Id rather be trusted so that they stay in the open when Im around, or allow me to do things in their cages, rather than try to turn them into something they are not.
I have dogs and a cat that love being handled and human attention, I dont "need" as some think they do, to handle my reptiles for attention or affection, I understand that they dont want it, so why make their life uncomfortable, unless they allow theis on their own terms.
A quote from Jane Goodall
"The only way we can form a relationship with an animal is to do so on their terms".
Also, an anonymous animal behaviorist.
"Wild animals that can be domesticated have some of the same or similar communications and behaviors as humans".
Keep this in mind, this is why dogs and cats are 1000 times easier to relate to as humans.