I don’t think that’s accurate but would be open to evidence to contrary.
From what I understand, a pro south governor, Beriah Magoffin, was in office at beginning of civil war. It was his goal to make Kentucky join the confederacy. Over two thirds of the house and senate elected were pro union, however. This is what led to Kentucky being neutral and led Magoffin to be a supporter of neutrality.
Eventually, it was apparent Magoffin could not govern due to pro southern sympathies. So, he stepped down and appointed his successor.
As I recall, a confederate invasion in southern Kentucky (I believe BG area), led the Kentucky legislature to petition the union for military support. It was really from that time where Kentucky’s neutrality was just a formality.