Well, sure. a trade court is a symptom of trade. You don't have a trade court without trade, just like you wouldn't have a family court without family or a traffic court without traffic.
But the entire premise of the private market is competition, or else it's just a blight on humanity. So the idea of a trade court seems a little silly at best, or actively enabling the worst hypothetical behavior of capitalism at the worst. If the court were really that necessary, the fundamental tenets of the alleged benefits of capitalism seem in question, and we should probably renegotiate at all costs with those who own the means of production.
> entire premise of the private market is competition, or else it's just a blight on humanity. So the idea of a trade court seems a little silly at best
You think private markets can exist without laws (and by corollary, venues in which to adjudicate them)?
Well, let me amend this. An ancap economy is certainly possible. Whether it looks anything like (neo)keynsian macro markets is another story—but economies are always possible. But yes, in general, stable societies should be extremely aggressive at paring down the wealth of successful people, or they will be subsumed by them.
And let me re-emphasize, private markets are generally a terrible thing for most people who aren't already being starved by their state. This does not generally result in efficient processes in the short term, and we're discovering in the long term private markets don't encourage competitiveness either.
...but when we talk about private markets (i.e., public markets of mostly private things), we neglect the real private markets, aka "platforms", aka app stores and subscriptions. These aren't even pretending to provide the benefits of market-driven societies.
Look you can take trade court seriously, but to me it will always be a sign of the inherent incompetence of states at approximating models of economies that represent how humans actually want to trade. So fuckem; what good do they really do anyone?
This is certainly no less damning. However, it is very illustrative of our colorful history: trade above humans!