Would you take a lower title for a raise?

Was sending out feelers for giggles and got an interview. Current role is “Infrastructure Engineer” and new role would be “Support Specialist”. Would be doing product support rather than SysAdmin.

I am not beneath support, I find I can make a difference on the front lines the same as I can on the back end, but I worry about future opportunities, would it look bad to go “down” a level?