Mortgage broker recommends putting 20% down instead of 40% on a 380k house?

My wife and I don’t really understand why he says we are better putting down 20% instead of the 40% we have. I asked my parents and they don’t really get it either because we want to have lower monthly payments and he says it won’t be significantly lower anyway.

Can someone help make this make sense please?

EDIT: Ok, so I do have the texts he sent me (sorry, I should’ve added this. I forgot I had them). He says “Looks like putting 40% down versus 20% would save you about $575/mo. So the break even on the extra $79,800 would be about 139 months. Meaning the extra down payment wouldn't start showing a ROI for 11.5 years. It will be much more efficient use of your money to buy the rate down to a monthly payment you feel comfortable with.”

Still doesn’t make sense to me 🤷‍♂️