A skin pinch might help your lower eyelids or it might not. Dr. Moelleken is absolutely right to be concerned about lower eyelid support, particularly given how much excess skin you appear to have in your lower eyelid.
The amount of skin you need removed is actually much more than is classically addressed with a skin pinch. That is not to say it can't be done. However, this will directly couple the lower eyelid to your falling cheek, placing the weight of the cheek on the lower eyelid. This has the potential to alter the lower eyelid position even if the canthal tissue is supported with a canthoplasty, a more aggressive procedure than the canthopexy you had with your original surgery.
I am also struck by how hollow your under eye area is. This also matched the hollow upper eyelid sulcus evident in the upper eyelid. You are obviously not entirely sold on your surgeon's proposal or you would not be asking this question on the Realself website.
I have responded to two other questions you have posed here, and again, I strongly encourage you to seek other surgical opinions regarding your options.