Since I am Hungarian, I am used to the Hungarian QWERTZ layout when typing, even in English. However, I have recently started to type in Japanese, which is based on a QWERTY layout. Maybe I would just get used to it in time, but it would make things much easier for me if I could switch the Z and Y keys for the Japanese input.
The problem is that Japanese has a unique input (labeled "Microsoft IME" in the settings) and I can't just load a QWERTZ layout under it. When clicking on "Add keyboard", I get no alternative options. This is in contrast to Hungarian, where I get a few dozen different options at the same place.
Due to the above I was not sure it would work, but I tried to download the official software recommended in this answer, and was not able to install it. (It asks for .NET framework version 2.0.50727, which is not available on the MS website anymore. I have a newer version installed, which it did not recognize. Also, according to the description, the latest windows version it supports is XP.)
A QWERTY layout is available for Hungarian, so if I could swap the two keys on a more basic level, that could also solve the problem. Otherwise I would need the change to be restricted to the Japanese input. This second option would also be preferred since it would not lead to weirdness were I to add a new language input.