No, the A cells were for torches. The radios used B cells for grid (-4.5V to -12V) and later B cells for HT (45V to 126V packs approx). All dry radios were later and used D to G cells inn packs for filaments. Earlier radios from 1921 but before 1938 (but still up to 1950) used lead Acid cells for filaments: 2, 4 or 6V.
The AA was smaller than A (originally the smallest) and developed for "fountain pen sized" torches, called pen-lights, though fatter than fountain pens. Popular in WWI trenches (1914, not 1917!).
The A, AA, B, C, D, E, F, G labels date from about 1947, but most of those sizes existed before 1914, many before 1900. Radios didn't come into common consumer use till 1921-1922.
http://www.blaukatz.com
All about old radios
https://www.radiomuseum.org
The 3 x B cells is still used in the 4.5V pack still sold in Europe and 4 x F or 8 x F the 6V lantern packs (spring or terminal tops) more commonly still sold in Europe. AA, C and D are still separately sold. As is AAA and AAAA.
LLMs are junk.