Vegeta one shots. It’s possible he wouldn’t even need SSJBE, just PSSJB.
SSJBE Vegeta > LSSJ Broly >>> SSJ Broly > ToP MUI Goku
I was thinking that UI Sign Goku (Arc Moro) must be much superior to UI Goku (ToP), because when Goku showed up, Gohan and Piccolo who were witnesses that Goku had trained for 2 months, they were impressed by how powerful he was. it was in his UI Sign Goku form, even before they knew that Goku was in Sing UI form.
Even when Vegeta appeared, he knew that Moro had defeated Goku, even though Vegeta thought that Goku had fought in his UI form. Even so, Vegeta proclaimed himself stronger than Moro before starting the fight.
Even so, at the beginning of Arc Moro, the UI form was still portrayed as an awesome power, therefore I don't think Broly SSJ is much more powerful than Vegeta SSJBE (ToP). Surely Frieza compared Broly's power to that of God Toppo or to the Suppressed blow he received from Jiren.