Yup, Senators is a terrible name. Obvious because they are the national capitol. But there is no good visualization of a Senator. Some old political hack, asleep in his chair in the Senate Chamber. How is a Roman Senator an appropriate symbol? Seriously, how?
Instead of changing their logo, they should change the team name. IDK what to, Lumberjacks, River Pirates, Polar Bears, Rough Riders.
They would have done well with something like the Nationals or Capitals. Maybe they go full Canada and just use Ottawa Beavers.