It probably doesn’t matter to their supporters, if anything it makes their supporters trust them more. Many Republicans are of the belief that all politicians lie, so they can rationalize this as “at least my guys are coming clean about it, the other guys are lying and not confessing.” And other people probably just don’t care that much, they believe in the policies of the Republican party and “at least they’re lying for what I believe in.”
It probably doesn’t matter to their supporters, if anything it makes their supporters trust them more. Many Republicans are of the belief that all politicians lie, so they can rationalize this as “at least my guys are coming clean about it, the other guys are lying and not confessing.” And other people probably just don’t care that much, they believe in the policies of the Republican party and “at least they’re lying for what I believe in.”