It depends on the design quality, but for me in general a larger speaker has made the performers and scale image larger. If that's what he means I agree. If he's using the term to mean "in the room presence" as in singer in the room, which can be a specific frequency, not so much.
Can you have too much speaker presence?
My dealer says I’d lose too much speaker presence if I went to a smaller speaker. I’m not posting the speaker in question solely because I don’t want this to become an attack on them. I get it, presence means there and in the area, but can too much become and issue, especially when it is centered in a specific frequency range?