Depending on how much you are at home (I work from home) you could do a bit of both & try it out.
My Panther has his cage (24 x 24 x 48 inch aluminum screen cage) and he sleeps, eats, drinks, basks and is misted there. Its his pad & since moving him into a bigger cage he has settled down & claimed it as his own.
He is always in his cage overnight and he starts his day off in his cage. He gets his morning feed and a misting at 9 am and another at 12 pm and then when he has warmed up and I am certain he has had enough to drink and is well hydrated I open his cage door where he has vines and a fiscus in the sun by the patio. He gets his 2 afternoon mists and loves to drinks off the fiscus. Sometimes he comes out and other times he chooses to stay in his cage....depending on his mood.
If he comes out he can climb, hide, hiss, bask and do what he pleases then for the next few hours in his tree and vines. He is very clean and only poops in the corner of his cage behind his plant (never out) and around 6pm he makes his way back to his cage across the lounge room floor, climbs in, warms up and then gets settled in for sleep.
If he is not in his cage by 7 pm then he is put back in but as soon as the afternoon gets a bit cooler and the sun starts to set (around 6pm) he is looking for the sancturay, warmth and privacy of his cage and a wax or silkworm as a treat if he is lucky.
If I am out and not at home to keep an eye on him then he doesnt come out as there are too many places to hide....(like inside a guitar....that was not fun looking for him for 2 solid hours I only found him as he got in and couldnt get out).
I think it also depends on the temperment of your cham. Mine is very good natured, curious young Panther. I am not sure if I would even attempt it with a veiled.
Safety of my cham is number 1 though as well as keeping his temps, hydration, uvb and uva levels all correct, his happiness is also a huge important factor to me as well
