I will create a historically accurate version, using grok!

At that time, (first century CE) there really were Latin speaking Romans in Jerusalem and administrating the region they called Judea. This is before the larger cultural and then eventually political split of the empire, so your average centurion would likely still be speaking Latin in order to communicate with his superiors and other troops.

Of course, they could definitely have spoken other local languages as well (depending on their personal history and length of stay).

Edit: Edited to add the date and also wanted to say that while your average centurion and likely a lot of the soldiery would be able to speak (or at least understand) Latin, the aristocracy and administration of the province would likely be able to speak Greek as well, or at the very least communicate through proxies in Greek and Hebrew.

Latin would have been used by (most often Latin-native) governors and their administration when reporting to Rome, and there would have been Latin speaking personnel, but they would have been the exception.

So yes, it would have been more accurate to use Greek, but of course it would have made the whole thing a lot less funny because most of the audience wouldn't have been able to decipher the Greek letters (and it would have added an extra layer of confusion to a clever joke).

Does this mean we should cut off John Cleeses balls?