Ah, the classic struggle of finding gauge or tension info on Aquila strings. It's actually mind-blowing that they refuse to list them on their website. You basically have to scour several different sites that sell these strings and pray to the ukulele gods that they give the gauges or tension in the description. One of the better sites for this, I've found, is JustStrings.com. For example:
https://www.juststrings.com/aqu-83u.html
When it comes to the Sugar or Super Nylgut strings, I've failed to find any info on them regarding gauges. As you mentioned, the Lava strings
should be identical to the Super Nylguts, but who knows for sure. Also, I don't think the tension on the Lavas (or Super Nylguts, or regular Nylguts for that matter) is particularly high. I personally feel that they are more stiff than other strings - especially closer to the nut - because they are a bit thicker compared to, e.g., fluorocarbons which I use a lot, but then again I might be wrong as they don't disclose the actual tension anywhere. In any case, the Reds do seem to be thinner compared to the Lavas, so they're probably thinner than the Super Nylguts as well.
Speaking of Super Nylguts, since you asked, I've found them to be the best "regular" type of Aquila string they have to offer, but to me they don't sound particularly bright, especially if you're going for the type of brightness the Sugar strings supposedly offer. I haven't tried the Sugars myself but I've heard that they sound more like fluorocarbon compared to the more typical Aquila Nylgut string. Same thing with the Reds supposedly, but I haven't been able to try those either since they are very prone to snapping so be aware of that. If you're indeed looking for more brightness I'd forget the Super Nylguts and go with the Sugars and/or Reds if you're set on getting Aquilas specifically. Otherwise I'd recommend trying some fluorocarbons as well. Martins, Living Waters and Worths have all been excellent for me. But as you said, strings are a very personal thing so my advice is to try as many different kinds as possible.