As has been mentioned several times it was the taught method due to being a relic of typewriters using mono-spaced texts
That's how it started but it continued after computers took over because it actually works/looks better not because it was a relic. Single space is fine for handwriting but for typed double space just works better.
It shows itself quite well when you read articles on places like Anandtech and the like where some writers use double and some single. Reading an article with single after reading one with double makes the superiority of double blatantly obvious.
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