My impression is some of us care, and others appear to be trolling those who care.
The standard convention in Western music theory is there are 30 written keys. The rules for the convention are not complicated or mysterious in any way, and as @Febs has shown these keys exist in the wild.
If you want to make a distinction between keys and key signatures, then I agree with
@Mushroo : There are 24 keys and 30 key signatures. I believe it's actually taught this way in some schools.
Nothing says you have to comply with convention, and nothing is stopping anyone from practicing in, or otherwise using theoretical keys, and yes you may come across them occasionally in the wild. Also, nothing is stopping anyone from working only in a few of the most common keys, or totally disregarding theory and written music, and playing exclusively by ear. However, if you want to be a skilled professional reading musician, IMHO it's wise to be prepared to work in all 30 written conventional key signatures.
IMHO this has been beat beyond the point of amusement:
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