If the little lever at the top of the coin comparitor moves freely then another thing to check is the lever's counterweight. This weight just screws onto the lever, they are made so you can install different gram weights, depending on the coin that will be used. If this coin comparator was originally made for use with a coin heavier than a quarter the weight may be a little too heavy. You can remove it by simply unscrewing it with your fingers from the lever and see if the problem goes away. I think this "dampner" lever is there to prevent "fast feeding" and "stringing" of coins, plus it pushes the coin to the left side of the coin path so it gets measured more accurately by the sensor. With the weight removed the lever will drop to its lower position so coins won't get stuck but the lever will still guide the coin correctly to the sensor. But you will lose the fast-feed & coin-stringing security protection, probably not a problem for home use.
As you can see in the attached document below they made a wide variety of weights for that lever. These coin comparitors get removed and reinstalled into different machines over the years, sometimes you have one that was originally in a machine that used a different coin denomination. Or it may be the original comparitor for the machine but the machine was converted from one coin denom to a different one.