From what I've seen in other communities, typically you have "Any%", which by definition is unrestricted, then if a subset category banning specific massive exploits is popular you can have "Any% No X". For example "Any% No SSU" in GTA Vice City or "Any% No Voidclip" in Half-Life 2.
Or, taking from the Amnesia games, they have a more broad "Any%" and "Any% Restricted" which would be a name flip from the current setup here.
You can submit console runs for any category just fine, there's a few console runs on the NMG Safe Mode board already.
Unfortunately, there is no way to run a load removing timer on consoles, so runs should be submitted with the same time supplied for both the time with loads and time without loads. This will put you at a disadvantage however.
I have been working on a method for retiming runs that were submitted without loads removed, should this method work in practice at a later date then the mods will go through and manually update any runs that require it.