There's a good reason why Reza Pahlavi's move to rename Persia (itself a foreign-derived name) to the original name of Eran/Iran was extremely popular amongst the Iranians.
Especially considering that the Ottoman Turkish alphabet based on the Persian variant of the Arabic script also didn't map all the sounds that are required in Turkish. They also probably didn't pick the arabo-persian script because of those commonly found sounds in Indo-Aryan(European?) languages considering that Turkish isn't an indo-european language and is in a family of its own... So there's a very loose link here.
And while I'm not sure about the circumstances of the adoption of the Arabic script in Iran, the Turks were conquerors basically from the beginning and chose the Arabic script entirely willingly. There's no colonial or imperialist implications to calling Turkish arabic script... arabic.
(Not that it wouldn't even really matter, the letters in question are unquestionably arabic script anyways. The Romans sure did subjugate Britain and france, and brutally repressed them, but that doesn't make the script they use any less Latin!)
There are also lots of sounds in English that don't exist in Latin; for example, most of the vowels (English has roughly 15-20 vowel sounds; Latin has 5 or 6).
In particular, the reason why modern English are not really descended from ancient Romans is because the people who were (at least partially; they were known as Romano-British) got displaced by larger numbers of other people, principally Norse and Germanic peoples from the continent (especially Anglo-Saxons and Normans).
Moreover, the history of Italy is quite different in the specifics but actually has some similarities in the broad strokes. Germanic peoples from the north, Norse peoples from the sea, and (more uniquely) North African peoples from the south, have all through migration, displacement, and interrelations shaped the ancestry of modern Italians.
As for the main point: no serious historical linguist argues that English is descended from Latin. Yes, English superficially has lots of Latin vocabulary, but the phonology, syntax, basic words, etc. are still thoroughly Germanic. Phonology being particularly relevant since this thread is about how well an alphabet matches a language's sound inventory.
They moved the business to the US before the genocide though (and in good time too!), so not sure how they would have been affected.