The USB versioning makes total sense. People just misunderstand versioning, in a similar way to how some people thing version 1.2 is higher than version 1.11 because versioning sucks.
For the general consumer, there are three labels. SuperSpeed USB 5Gbit/s, SuperSpeed USB 10Gbit/s, and SuperSpeed USB 20Gbit/s. More Gbit/s is more better. Easy and understandable. SuperSpeed USB 10Gbit/s used to be called SuperSpeed+ but that was a mistake that was soon corrected. All the gen-X-Y-by-Z stuff is for people who read data sheets for fun. You don't need to care and you shouldn't.
The Gen 3.2 2x2 label is juar not for general consumers. It's a technical spec written in a similar way to how law works: the spec has revisions.
Take food for a comparison. There have been big lawsuits around whether something is a biscuit or a cake for weird tax reasons. For this analogy I'm going to assume cakes are just better biscuits, swap them around in your head if you disagree.
Now, if I sell a biscuit, I'll say "1 biscuit". This is similar to 1x1 in USB terms. Then I come up with my improved biscuit, or a cake, and I'll also sell cakes; I'll put "1 cake", or 2x1 in USB terms. The generation is just how good the food is or how fast the lane is.
Through the magic of engineering I also find a way to pack multiple foodstuffs into a single box! I now sell boxes of "2 biscuits" (1x2) and "2 cakes" (2x2). In practice, nobody needs boxes of 2 biscuits, but it's a technical possibility.
However, suppose the law changes this year. Some biscuits are now cakes, some cakes are now biscuits.
If my target audience is the general public, I'll put "2 cakes" and "2 biscuits" on the right boxes with updated packaging or ingredients. This is similar to the USB logo with a little 10 or "SuperSpeed USB 10Gbit/s". Because nobody buys my boxes of two biscuits, I don't even bother designing a logo for them.
If my target audience demand technical specs on my food, I'm in trouble now, though. How do they know if my definitions are based on the new law or the old law? Will their dietary compliance officer let them buy from me? The solution is simple: add the spec you're following to the ingredient list on the back!
Now I'm selling "two biscuits (food law of 2021)", or in USB terms "USB 1x2 Gen 3.2", and "two cakes (food law of 2022)", "USB 2x2 Gen 3.2" in USB terms.
Cakes can be cakes in both 2021 and 2022 law, but I don't think anyone will be confused if you write down according to what law they're considered cakes. Similarly, people shouldn't get confused by what spec the USB description works. Look at the consumer name for comparison of actual products, look up the provided spec the conversation table that came with your copy of the latest USB spec if you want to get a pedantic view.
This versioning problem is everywhere. Are two PCIe Gen 4 lanes faster or slower than four PCIe Gen 3 lanes? How does a PCIe Gen 5 lane compare? What about memory, is DDR5-3200 faster or slower than DDR4-3200? Is an Intel Core i7 12700 faster than an Intel Core i9 11900K? What about a Ryzen 7300 versus a Ryzen 3950X?
The label "USB4v2" should probably be changed to "USB4 Gen 2" for consistency, but this random Chinese hardware manufacturer might just have used the wrong name here. This isn't part of the official USB spec, it's just a name some person found on some machine.