Were the Beatles eventually involved wtih the Paul is dead clues?

Question

I know that at least at the start that Beatles were not involved in the Paul is dead clues. It was basically acid heads that called a radio station and told a DJ of such. You can find anything if you look hard enough. Like the one time out of 1000000 that you think of your Aunt and she calls right then. You remember the one time.
However, what is strange to me is this: on the White Album in the song Glass Onion John sings "Here's another clue for you all, the Walrus was Paul"
The Walrus was involved in several of the clues because it was a symbol of death. Was John Lennon adding to what had already gone on? I mean he liked such humor and also he enjoyed mixing people up with some of his songs...(I am the Walrus was a response to all the deciphering of Lucy in the Sky).???

Answer 1

The 'Paul is Dead' debate began with the line in the song, 'A Day in the Life' when Lennon sang, "He blew his mind out in a car". Now, this had nothing to do with Paul at that time, but from this the rumor spread that Paul had died in a car/motorcycle accident that had been covered up, and a 'new' Paul had been brought into the band via a well known radio station look-alike contest in the fall of '66. The Beatles, as usual always tuned into the public response to their songs, got wind of this 'Paul is Dead' baloney, and had a good laugh. But Lennon being Lennon, decided to fuel the fires to this rumor and actually inserted the line, "The walrus was Paul" just because he loved playing with peoples minds, and knowing that someone was going to realize that a walrus was a death sign and all that. After that, the 'Paul is dead' story took off on a life of it's own, people began actively searching for clues, and The Beatles were laughing all the way to the bank!

Answer 2

The Paul is dead thing didn't really surface until 1969 and after that song... John was just poking fun at interpreters in it.

EDIT: here, this makes better sense than any of us and states sources:
http://en.wikipedia.org/wiki/Paul_is_dead

Answer 3

No, it was explaining "I Am the Walrus."