I don't know how Dirac ART works beyond "we use this speaker to cancel modes caused by another speaker". It's a bit too vague to be useful. And Trinnov is the same, except that their scheme sounds very similar to a DBA. So I do not know whether it is a real innovation or not, because it's not as if schemes like these do not already exist. I would need to know in detail exactly what they are doing before I can have an opinion. And I don't have opinions about things I don't know, I only have questions.
As for Dirac vs. Acourate, the difference in a nutshell is: one is like a bread making machine, the other is a collection of kitchen tools - a stand mixer, oven, baking dishes, and so on. The bread making machine directs you to add flour, water, and yeast. It kneads it for you, rests the dough, then bakes it. You will consistently get good bread, but it can't be used for anything else. With kitchen tools, you have to measure out the flour, water, yeast. Then you have to know how much to knead and how long to rest, then set the oven correctly and bake for the correct time, and know when to remove the bread from the oven. There is a learning curve involved, but you can get so much more than baked bread. You can make cakes, scones, pizza dough, cookies ... all sorts of things. And arguably, you can probably make better bread ... but you have to learn how to do it first. And it will never save you time compared to the bread making machine.
So Dirac is great if you want convenience and you are happy with the result that some engineer decided would be best for you. But you will never learn about DSP and you won't be able to adapt it to do something else. Acourate makes you learn the process, but once you understand what it does, it is really flexible. For example, if you want to make a digitally delayed CBT, you can do it. You can edit curves, for e.g. take a measurement of a woofer and a port, and then stitch them together. You can use it to simulate the effect of a correction, and the simulation is extremely close to reality. It can exploit the ability of linphase filters to independently correct phase and amplitude, and if you don't like what it suggests, you can DIY your own solution. You can read about some correction method on ASR, then go an experiment. IMO the curve editing feature of Acourate is unmatched. REW lets you edit curves, but some features are missing (or I haven't found them yet!). Audiolense won't even let you import a .WAV file, let alone edit the curve. And Dirac can't take verification measurements, you have to use REW.
IMO both solutions have their place. Dirac is better for people who want the result but don't want to learn the nuts and bolts of DSP. Acourate is great if you like to tinker.
I don't have results of a direct comparison between Dirac vs. Acourate, and IMO the comparison would be meaningless. With Acourate, the result depends on the user, a bit like how you can't compare bread made with a bread making machine vs. manual baking. If the baker doesn't know what he's doing, the result will be worse. If the baker is skilled, the result will be better. The bread making machine will always turn out the same, consistent result.