Dragons can be sulky things if they don't like change. I think it should be fine as long as it can't get out. I'd check the distribution of Frillies and then weather records for those localities, and see what they can cope with year-round. I have my Boyd's in a smallish (1.5m x 4.5m) home-made hothouse, with polycarbonate roof (with 50% shadecloth over it) and polycarbonate north-facing wall, the south wall is insulated corrie (50mm styrofoam painted dark green and covered with shadecloth for climbing). gets very hot during the day, but I have lots of shelter leaning against the back and on the floor, and the Boyd's (which go to ground at anything more than about 25-26C) just go under that where it's damp and cool (it's got microsprays which drench it once or twice a day in hot weather).
I can tell you it has transformed my philosophy when it comes to keeping critters. I get so much more pleasure from seeing these beautiful dragons in the foliage and amongst the leaves on the floor foraging for food. They sleep in the high spots at night, but get moving around 8am and go down to the ground. They disappear about 11 when it's hot, but are out & about by 4 until almost dark.
I'm going to do a similar thing with my GTPs to see if they're more active in a more natural setup. Seeing them in my current small enclosures depresses me. I plan to have each (pair maybe) in a 2mx1.5mx2.2m high section of a larger glazed bush house I plan to build this summer. We're lucky to live on a north facing hill and get lots of warming sun in winter.
Jamie