Is a deep mentolabial sulcus an aesthetic concern when wanting to increase horizontal chin fullness with implant? (Photo)

Hello, I'm interviewing docs for a chin implant and neck lift. I'm getting different opinions on the implant. One didn't recommend an implant because it would make my mentolabial sulcus deeper and my lips more puckered because an implant pushes the chin horizontally forward. A second disagreed and said the implant is lined with the jaw bone which points slightly downward and so the lower part of the chin would look fuller and tapper into the sulcus. Who is correct? Thanks