Yes, but those "classes" can be quite wide, there is for example no way they could trademark it for "Class 9: Computer and software products and electrical and scientific products."

Wait until you find out about "apple" and "windows".

Apple and windows are trademarks for software. You would be unable to get the trademark "Apple" for a company selling fruit, or "windows" for a window fitter, and neither could Apple or Microsoft.

𝕏 is a pre-existing symbol used by, and part of a standard character set for, software. You could probably get a trademark on it for a company selling apples, but I highly doubt you could for a software company.

> 𝕏 is a pre-existing symbol used by

"used by" is pretty debatable. Its a fairly obscure character. I don't think being in unicode by itself is sufficient enough to count.

There is also https://www.x.org/ which seems quite slow. I wonder if it's receiving more traffic than usually..

> its respective business domain

Or to any number of business domains. See the trademark registration for "Wagatha Christie":

https://trademarks.ipo.gov.uk/ipo-tmcase/page/Results/1/UK00...