I was reading a paper that ran a difference-in-differences regression and the coefficient value was -0.036. The dependent variable is vote shares and none of the variables were logged. The author wrote that the impact of X on Y is a decrease of 3.6% of vote shares.
Is this interpretation correct?.. I thought the coefficients are percentage points not actual percentages.. This is an article published at a top social science journal and I feel like I'm the one missing something here.

In addition, for simple OLS regressions, are coefficients usually percentages? Sometimes people say percentages and sometimes percentage points.. and this has been giving me a headache.. Can anyone help me clarify please?