If money isn't much of an issue, then I hear lots of good things about the independent trailer suspensions. That said, the wife and I do very well financially and part of that is not being silly with the money. I say that to say, I hear so many folks comment that "this is the best", which can be true, but best for the money or best with money as no concern? I've learned some recently that I'm a big fan of "best for reasonable money". So depending on what your priorities are, well that helps decide if independent or SA/leaf is best.
I built my own off road camping trailer (twice), all because spending $30K on the one I wanted was just silly. We run leaf suspension on ours and have zero complaints, for how we use it.
We do light off road trails, at most, I'd consider some medium difficulty, nothing rated difficult by most standards. Our goal is remote camping, not serious off roading. We did equip our trailer with Jeep CJ-7 leaf springs, shocks and 4" lift. It tows amazing, has a simple and easy to find parts for suspension and only if we made stupid money (and thus could just afford to experiment and change suspensions a few times) would we bother going another route.
Stock trailer leaf springs (still installed) with Jeep leaf springs installed as well, for comparison:
Honestly, for what we do, I have zero issues with a solid axle and leaf springs. As rehammer said, having them set for the right weight (and use) is important. Our CJ-7 leafs are from the rear of a CJ-7 and the weight the rear axle holds is approximate to the weight of our trailer.
Here's the other trailer we built, not jeep suspension but rather some off road specific trailer ones from a guy that builds custom trailers. No shocks even and it did great.
As Chi-town says, non-leaf spring systems are a bit more complex and specific and yes, sure, they help with side-to-side weight transfer, but I'd argue that doesn't make a huge difference (for the cost) compares to a SA/leaf. Plenty of off road vehicles do very well in situations with SA/leaf when IFS/IRS vehicles struggle, so none of this is 100% one route. It depends on how you use it and what you expect. For budget minded off road trailers, on mild/medium trails....my opinion is a correctly rated/sized SA/leaf setup is more than adequate. Spend that saved money on other upgrades or on investments.
Our trailer is a 5x8 and weights about 1,400 lbs (635 kgs) loaded to go.
Also, my username is Jman as well, so you know you can trust me lol
Jake