Hello and thank you for using just answer!
Let's back step a few steps here....so were the fans NOT coming on before this original issue started?
Yes both fans will operate when that sensor is disconnected because it causes an open circuit so the fans go into fail safe mode but that is NOT how this should have been approached. What probably happened here is the sensor on the radiator has failed (common on this car) which caused the car to run a little hot and then cracked the radiator. When you did not correc this issue immediately instead you tried to "patch" it with an additive that does not help it only clogs cooling ports you then caused hot spots in the block and head, this weakened the head gasket and so when you finally fixed the radiator and pressures were back to normal then you blew the gasket out.
What you need here is a new head gasket and a new temp sensor on the radiator.
Ok, but there are no signs that a head gasket was blown, there's no oil in my water and no water in my oil...I have no white smoke coming out of my exhaust, and no sign of any foam like substance coming from the caps.