But didn't the Force aid people that weren't sensitive. Han Solo could definitely have been helped by the force.
"Could have been" is a hypothetical, not in the actual text.
Force points stand in solid contrast with, say, Vampire: the Masquerade's Blood Pool, because in V:tM, a vampire character had to get access to blood in the narrative to add to their Blood Pool.
One does not need to gather a pool of the Force in the Star Wars narrative - it is everywhere, all around you, all the time. The points are a game mechanic, not present in the text.

