Yale didn't like to show-off, but he didn't want to be low-key either.
Given that others thought that having Terug's support wasn't enough, he displayed his strength and background to ensure that no one would have funny ideas.
As far as Yale knew, only his mother, the Mysterious Expert, and creator of the universe were stronger than the Battle God, and the three of them were on Yale's side.
Moreover, the true strength of Yale's mother and the existence of the Mysterious Expert weren't clear for others, so the Battle God was enough to scare everyone.
After all, it was known that the relationship between the battle God and the universe creator was a good one, so there was no way someone would want to offend them unless they wanted to betray the universe.
The only ones who could oppose to them were those of the other universe.
Yale's power was quite fearsome, but only killing a Tier 5 World God in one hit wasn't enough to provoke absolute fear on others.