In message , Mark Brader
writes

( the Aldwych Theatre train):

It was then altered to start at Strand (Aldwych), at 11:13 pm (later
11:28). From 1908 it called at all stations. [RTTC2] I don't see
anything to say when it stopped running.

End of 1908, according to Croome's monograph on the Piccadilly line

Not altogether surprising, though - Aldwych is right on the far easterly
corner of "theatreland", so Covent Garden, Leicester Square or TCR have
always been more convenient for the majority of theatre-goers.

--
Paul Terry