Maby did.
Now, did Entwistle use Rotosound tapes on "My Generation"?
No, he went on record saying they were La Bellas.
Were they tapes, as we now commonly intend them?
...Maby. /Uhm, maybe.
See here:
Rotosound history: their first stainless steel bass strings?
^ In short, John Entwistle once called the La Bella strings he used on the Who's "My Generation" both 'tapewound' and 'flatwound' in the space of three sentences.
The thing is,
metal flats were often called 'tapewound' (or alternatively 'ribbonwound') strings back then.
By way of example, here's a scanned copy of the Jan '62 issue of BMG, the longest running music magazine in the UK - check out the adverts for Cathedral "chromespun" and Monopole "chrome steel tape wound" strings. ROTOP "Goldentape" strings are featured as well:
https://www.classic-banjo.com/index.php?article_id=11&downloadpdf=196201
(They still are, occasionally, as also mentioned in the post linked to above.)