Multiple Phone numbers and your online marketing

A conversation I've had with a couple of clients has been about posting multiple phone numbers everywhere.
From the front page of their website to their social media profiles.

Not different numbers for different departments. Just more than one number that goes to the same place.

I think it's cumbersome and actually unprofessional. That there is no reason to force people to make a choice no matter how small. Just give them the most direct rout to speak to someone. Don't leave them sitting there wondering what's the difference between the numbers and having to choose one.

Clients say that they think it makes them look "bigger". I think the opposite, it makes them look smaller, and unsure. Like a small company that's trying to look big.

I'm all for having 2 numbers that do 2 different things. Even if they just go to 2 different people and you make it clear what the difference in numbers is.
You should also include as much contact info as you can on your contact page.

But 2 numbers just for the sake of 2 numbers serves no purpose to me.

What do you guys think?