"tinycore" only needs to be said once per page (and not on every page) to make a difference on google. they are always changing their algorithms and on most search engines, saying "tinycore" and saying "tinycore tinycore tinycore" should be about the same, unless they like being gamed easily.
"tinycore linux" would get incredibly monotonous, both to read and to type. that would also encourage the very "tcl" abbreviation that' we're trying to avoid, so "tinycore" once per page (or whenever it's natural to call it that,) and "tc" in general seems to be the best convention we could demonstrate to other users.