BenNT, it's no doubt interesting to try to influence nature in the way you're seeking to do.
I'm no expert on such matters but so far your evidence suggests you may need to go with the flow & allow nature to take its millions of years old course. Besides, once the secret of creating non-dormant native plants in the NT is out we'll have all sorts of people trying to create an all-year green NT. Significant parts of the tourism industry will be ecstatic! And imagine what that will do to the natural environment! Perhaps the long term view is worth considering & pleasure taken in watching & learning from well-established natural events. There's so much to learn there, too.

It's always worth a try. Some plants though will only rot if kept watered during the dry season. The factors behind going dormant are variable. With annuals flowering and seed production often produces chemicals that instruct the plant to shut down all its functions and die. Some plants with tubers (which includes many Droseras) need that break for important processes within the tuber to be carried out. It's all part of a required cycle for them, basically built into the system.

I have a moss on some trees that during the dry season appears dried and dead. If watered it becomes green again. It would probably work in a terrarium. On the other hand Adiantum philippense flourishes in the wet season of rock faces but during the dry season dies back and is barely noticeable. I put some in a pot in the garden where it got water all year. Over a couple of wet seasons the plants have thinned out to where only a few remain now. I think the dry season watering is doing more harm than good.

If you're thinking of growing the Petiolaris-complex Droseras, they like very high heat. Check some when there's a bit of a break in the monsoon, after a couple of sunny days the water they're in is quite hot, yet they thrive. Other plants would keel over. You'd have to try and replicate those conditions in the dry season. And then it might not work if they're also geared to day length, or will just automatically shut down after a certain fixed length of time.

You'd be on a steep learning curve with this, but there's only one way you'll find out whether it'll work for any particular plant, or not. Good luck with it.