IIRC While My Guitar Gently Weeps sent shockwaves through the music scene. Up until them most thought the Beatles didn’t need anybody so when Clapton was invited in for a solo it not only was considered a major oddity it became the linchpin for rumors of an impending breakup of the band.
And you're right, it was the White Album where it first showed.
The hubris of McCartney, Harrison bursting at the seams, Ringo walking out (due to McCartney) and Lennon's mean, nasty "wit".
They had essentially lived together for 8 years by then, without a break for anything. They couldn't go anywhere without great fanfare and personal danger.
Twelve studio albums in 8 years. NOBODY does that (Stones were close). Movies, one of which is still a classic. Started a media empire, Apple.
In just 8 short years.
While My Guitar Gently Weeps contains the meaning of life.
Listen to it.
The version on YT - Eric Clapton - While my guitar gently weeps (Concert for George) is very good.