Perhaps because you also have an Aerosmith and Elton John examples of Beatles covers, which I found a bit bewildering.
They are both versions of Beatles songs that were frequently played on my local classic rock radio station. Many people in my age group preferred the Aerosmith version of CT over The Beatles; meanwhile, Elton's version of LSD went to #1 whereas The Beatles version wasn't a single at all. Why did you find these examples bewildering?
At least where I'm from, the original Beatles versions are generally considered definitive, with at least their version of Come Together getting regular airplay. I was aware of an Elton version of LSD, but I haven't come across anyone who's deemed it superior to the original. As for Aerosmith, wasn't aware of them doing a cover of CT.