Is there a proper way of comparing weight coefficients of two logits?
Of course, this makes complete sense, as long as all the other variables are the same. In fact, if you think of logistic regression as a linear regression with the log-odds of the output variable (as in http://www.wright.edu/~thaddeus.tarpey/ES714glm.pdf), then it is trivial that comparing the weights is the same as comparing them in linear regression, which makes perfect sense.