As pointed out by SaulFabre, the fork made by SuperrSonic is overall much better functioning for the Wii than the official release, and it has been that way for quite some time.
The official release has a very messy interface, with options related to each other sprinkled in several different menus, it has settings or features that simply do not work, others, at least in my experience, need to be edited every time I change a core, and it also has some ridiculous stuff like being able to lock yourself out of being able to move around the menus if you want to change the controller you're using.
SuperrSonic's fork it also has a number of settings that don't exist on official releases, and setting each core is far less of a hassle compared to official releases sharing some settings between cores.
Besides that, there's also glitches and other things that SuperrSonic's fork simply does not suffer from, like the somewhat recent audio quality issue that seems to affect every core that I found out when checking newer official releases with the new PicoDrive core, and other people have mentioned it too in other threads here.
Talking about that, the PicoDrive core is the only reason I keep an official release, as the version of it hasn't been ported yet to HexaEco.
@SaulFabre I'll take the chance to ask something. Do you know which SNES core in HexaEco works with Satellaview games, or how to set it up? I was using Snes9x RX but I want to use RA-SS, yet nothing I try works.