Everyone is very vehement about finding the truth if the expectation is that the truth will validate them.
Republicans want the voting to stop because there might be fraudulent voting, and they want recounts for the same reason.
Democrats want the voting to continue because more votes might favor them, and they want to deny recounts for fear of initial inaccuracy.
If the situations were reversed, both parties would be saying the exact opposite, giving the same justifications for pursuing truth in one corner but dismissing the venture in other corners as fear-mongering.