Great question. What's that accent, and why does it sound so different from how many Ghanaians sound today?
Well, that's called a British-influenced Received Pronounciation (RP)-style accent, which was common among the early-generation colonial-era Gold Coast "intelligentsia" trained in British-style schools or the UK.
Over time, there was a broader evolution of Ghanaian English over generations toward a more localized variety shaped by Akan, Ewe, Ga, Dagbani, Nzema and other indigenous phonologies (e.g. different vowel qualities like the "strut" vowel, stress patterns and rhythms.)
(In Ghanaian English, the strut vowel (found in words like how Ghanaians pronounce words like "cut", "love", "come", and "strut") is characteristically pronounced as an open, central vowel, similar to the /a/ sound (or sometimes an /ɔ/ sound)).
The expanded education, combined with the local teachers, and the reduced direct British influence all led to the natural emergence of distinct Ghanaian English varieties over time.
The old accent was tied to a tiny, colonial-era elite in a time where formal education was extremely scarce; its "disappearance" reflects Ghana's success in educating far more people over time.