Do you have a quote from SE for this? Because on the housing website it says nothing about needing separate accounts or that alts don't count. It simply says 4 or more members.
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You only need 4 people. 2 of my FCs are just level 1 alts, the third (my primary) is made of a level 70 and two 20-30s. All my own characters.
You can create an FC with 4 characters that are all on the same account (using another person/another account to get them all in the same FC), so by the same logic you can likely buy a house with the same FC and the same 4 characters.
If there were restrictions on needing them to be 4 separate accounts SE would have said something about it (in either live letter, 4.2 patch notes or the new housing website). They haven't so logically there is no such restriction.
Meow, just need four characters in the company, any level still works, account doesn't matter, rank 6 or more is the only main requirement, though you wont be able to buy a plot if you have another Character on the same world that is in an FC with a house already.
One other thing that i am not completely sure on is, you shouldn't be able to join an FC (buying fc with house etc) and be elected master, if you have any other characters that are in an FC with a house.
Either you are trying (and failing) to be funny or you are being overly sensitive. Words have multiple meanings. I knew twink as slang for a low-level video game character with better-than-average gear long, long before I ever heard it as slang referring to anything to do with gay people. It's very common in some games (not this one probably because alts themselves are less common and gear quality is fairly equal across the level brackets.) I've no idea which meaning came first though but I'm sure no one here intended any offense toward anyone else. They are just using the word as they learned it, so there is no reason to go kicking up a fuss.
As someone in the gay community with a loving husband, I've never seen twink used as a slur? I've just seen it used to refer to someone young, thin, not a lot of muscle to them, basically the opposite of a bear.
Oh and as countless folks have said, they need to all be other characters. You can't have two of your own characters on at the same time, which would be required for this to work with them.