Cool. Make it a relate to the correct period. Sparta was a Greek city state. Senators were the Roman ruling class (Assuming that is what they were going for). Their prominence was separated by several hundred years...
Its analogous to the Detroit Pistons mascot being a pack mule.
Things can be fun or kids and accurate.
In fact, the Romans were great admirers of Sparta's traditions.
E.g. "It became fashionable for the Romans to visit Lacedaemon and see the rites of Artemis Orthia, as a sort of tourist attraction – the nearest Greece had to offer to gladiatorial games"
AND
"Sparta became a popular tourist attraction. The Romans admired Spartan discipline, and came in droves to watch the agoge in action. Augustus himself visited Sparta, and ate in one of the communal mess halls. Hadrian visited twice, and was even elected
patronomos, an official charged with upholding ancient customs.
For the benefit of a Roman audience, “ancient” rituals of endurance and punishment were remembered - or more probably, invented. The most notorious was the
diamastigosis (flagellation) that took place at the Temple of Artemis Orthia. Here, in a temple ringed by seating for spectators (see the reconstruction below), Spartan teenagers were whipped in a contest of endurance, often to point of death. As Plutarch says in his
Ancient Customs of the Spartans:
“The boys in Sparta were lashed with whips during the entire day at the altar of Artemis Orthia, frequently to the point of death, and they bravely endured this, cheerful and proud, vying with one another for the supremacy as to which one of them could endure being beaten for the longer time and the greater number of blows. And the one who was victorious was held in especial repute. This competition is called 'The Flagellation,' and it takes place each year.” (40)
Might want to brush up on your history. It might actually be consistent with Roman antiquity that they would create a mascot out of a Spartan.
Looks like we can all collectively relax and take solace in the fact that "Spartacat" would make sense historically for a Roman audience. Another bullet dodged!