Jonathan Miller's Alice in Wonderland was broadcast by the BBC on December 28th, 1966. It's a safe bet that John was watching, given his love of the source material, and a cast filled with people he knew, such as Peter Cook, Leo McKern and Wilfred Brambell (not to mention the score by Ravi Shankar).
His opinion of it, however, I know not.

The film emphasises the absurd, chimerical qualities of Lewis Carroll's narrative, and presents a disturbed child's eye view of bewildering "adult" mores.

Alice wanders around in a literal dream, questioning both her own identity, and the house of cards qualities evident in the society she encounters. John, as ye must know, was at the height of his acid gobbling phase around this period, and the enervated, dark, funny if disturbing imagery must have struck a note in him.

It's perhaps of interest that Lucy in the Sky with Diamonds was written soon after. Also possibly noteworthy that John spent a great deal of money in 1964 and early '65 paying for Ken Partridge's interior design at Kenwood, only to rip most of it out at some later point, for some later reason.

Not that I'm suggesting anything, like.