Correct. It was in the Peter Parker Spidey series in the 90s. Originally Blade only had immunity to being transformed into a full vampire and couldn't be hypnotized by them. I think he had slow aging as well. But the immunity to daylight and the "boosting" of his natural abilities into super human territory was caused by the bite from Morbius interacting with his blood.
I think Marvel just retconned it into being something he gained from Frost. Purely for simplification.