Reason: This SE already gets a lot of observable up/down voting that is unrelated to the actual quality of an answer (that is, how good the actual cooking information is), but is instead based on some other popularity characteristic, most often speed of answering. Lowering the rep required to vote would increase that, and decrease the value of the scores as an indicator of answer quality.
I believe that it would also do zero to improve the core issue faced by this SE, which is needing more quality questions and answers. There is no reason to believe that a user who has not gotten enough reputation to vote, because of not asking or answering, would suddenly start asking or answering because they had gotten the ability to vote. If I'm wrong, then we'll find out from the sites who already volunteered.
If we wanted to increase asking/answering participation, the thing I'd experiment with decreasing the threshold for is commenting. There's a pretty clear path from commenting to answering.