Everybody's a spreader at this point. And will be, forever. We'll all get infected by the virus over the next 5-10 years. Probably multiple times. Most of us won't even know we had it.
Get the vax for your own health. Get your kids vaccinated for theirs.
People don't get the flu shot because they're trying to help prevent the spread-- they get the flu shot because they don't want to get the flu.