the or The? (re-stated proposal)
It seems that there is some confusion as to what is being proposed, with some editors believing the statement “the band’s name is The Beatles” to be a counter-argument to the proposal (in fact, the statement is a premise of the proposal), so I’ll try to re-present the argument more clearly.

Premises:
The band’s name is The Beatles.
The band’s name is not subject to any unusual capitalisation rules. (Were it otherwise, there would be WP:RSs commenting on the fact).
The band’s name is used in Wikipedia music articles.
MOS:MUSIC is “the Manual of Style, a style guide, for Wikipedia music articles”.
MOS:MUSIC#Names (definite article) instructs that, for band names starting with the definite article, “Mid-sentence, per the MoS, the word "the" should in general not be capitalized” (and provides for exception, only on a usage basis, not a band basis).

Conclusion:
When the name The Beatles is used in Wikipedia music articles, the word the should not be capitalized mid sentence (excepting the specific constructs detailed in MOS:MUSIC).

Proposal:
Follow the MOS (per the above conclusion).

Notes:
The benefit in accepting the proposal is, per the MOS, more “consistent usage and formatting”, throughout music articles and Wikipedia as a whole.
Per WP:CCC, “editors need to re-examine each proposal on its own merits”, not “on what influenced a past consensus”.