And I totally disagree on Rovners.
I've been using Rovners as my preferred ligature since I bought the first one in 1978. I have never experienced them letting a reed lift up from the table. Of course if the reed back isn't flat, the Rovner won't force it flat (neither will any other ligature, short of a whacking great C clamp). The two bars on the Rovner can pivot a bit on the screw to accommodate different tapers (within reason, of course).
I basically am OK with the traditional two screw ligature, but of course when it's used inverted it chews up the top of the MP. Used with the screws against the reed, the corners tend to dig into the bark, which makes the reed tend to move into the same position every time, and can make it difficult to do tiny adjustments, especially side to side.
The fabric ligature has more range of adjustment than the two screw metal type.
I have a few of the "light" Rovners, with the rectangular cutout, and have never noticed a lick of difference in the playing, between them and the "dark" ones without the cutout. However, the two strips above and below the cutout need to be straightened out a bit sometimes, so I prefer the Rovner without the cutout, as it's just a wee bit simpler to install.
But as I've written many times, I tend toward a simple approach to equipment - one mouthpiece, one horn, play it with the neck that came with it, one brand and strength of reed, adjust them when you need to. Except for bass sax, I've been using my main mouthpieces since 1978 to 2006. Yes, the newest MP I use regularly is 20 years old. I use the Rovner ligature on everything (except for a few oddballs I hardly ever use), Vandoren 2 1/2 for everything, etc., etc.