Of course it can. Being widely disparate is just as valid a method of creating an album as being really unified in sound.

Not to mention the complete randomness is the unifying theme behind The White Album.

No it is not. That is not a theme and it is not something that is at all supported musically by what they are doing.

No, it's very much the concept of the album, they may not have started production with that concept in mind, but that ended up being the concept in the end, that's why they went with the plain white cover, that's why it was simply called The Beatles, because the sessions were so all over the place that they realized the only workable concept was an anti concept. So yes, because they ended up with such a disparate selection of songs they worked all that chaos into the concept of the album.

The minimal design of the cover gave the album a mysterious presence, they were basically saying "fuck it there's no cover or title that could describe what this album is like, just listen to it and find out what's inside".

It would only be conceptual art if there wasn't any actual music inside.

The intention of an artist's concept is irrelevant to the actual product. However, the way that I listen to and hear albums treats every album as a concept. A lot of my favorite Beatles songs come from the White Album but the White album is not one of my favorite Beatles albums simply because I find it so disjointed (in a negative way, a positive example of a disjointed album would be You Forgot It in People) that I can't really enjoy the whole thing. I don't see why "someone playing a series of Beatles songs in sequence and claiming it was a unified work of art" is such a problem because god bless playlists.

Ah okay, I misunderstood.

EDIT - For fun, here is a list of tracks off TWA I dislike more than "Revolution 9"

Wild Honey Pie
The Continuing Story of Bungalow Bill
Piggies
Don't Pass Me By
I Will
Honey Pie