If you do it it's 'cold mailing'. If someone else does it it's 'spamming'.
> I’ve personally typed and carefully went through every single email I sent.
Then I would definitely consider that cold mail, and not spam. A targeted, personal, concise email is worth 1,000 spammy emails (and perhaps approaches infinity if you factor in negative strikes against "good faith"). The difference is more qualitative than quantitative.