They DO do a lot for you, even at smaller publishers. But unless your participation is allowing them to create sales where there wouldn’t have been sales, it is ever so unlikely that they will choose to pay your bill as you travel the country doing signings. I was my imprint’s bestselling book the year I was published. I did some appearances, but not because of anything my publisher asked me to do.
You can arrange your own events and participate in others, and sometimes your publisher will work with you to make sure copies of your book are available! But yeah . . . book deals usually don’t lead to road tours. Sorry. :/