Low bleph - can this cause a sunken eye look? (Photos)

A lower blepharoplasty can improve the appearance of under-eye bags and excess skin, but fat removal must be approached carefully to avoid a sunken or hollow look. Over-removal of fat is a common cause of this issue. Modern techniques focus on fat repositioning rather than aggressive fat excision to smooth the under-eye area and create a more natural result.
Since your concern is avoiding a hollow appearance, you may want to discuss fat preservation or transposition with your surgeon. This involves redistributing fat to fill any depressions rather than simply removing it. In some cases, adding a small amount of fat grafting can further enhance results.
The difference in swelling from morning to evening suggests fluid retention, which may improve with skin tightening or repositioning rather than excessive fat removal. Make sure your surgeon understands your goal of achieving a refreshed but not overcorrected appearance. A conservative approach typically yields the best results.
After the surgery you can try laser treatment, several sessions most likely, to improve the skin quality if you end up with fine skin wrinkles. Also mesotheraphy, exosomes, nano fat grafting, and microneedling works really good.
Skin removal can also be done but it should be conservative, honestly I don't think that you need that.

I would be skeptical of pronouncements of what you need based on these photographs. I suspect that you have retained filler. I would start by having this product definitely removed. I strongly recommend avoiding "grafted fat" in these tissues. Your eyelid skin is very thin. Hiding grafted fat is very challenging. Think of grafted fat as injecting scar tissue. Yes, some fat survives by the vast majority of the fat dies and is replaced with scar tissue that will permanently damage how the eyelids heap up when you smile. You won't like this effect. Also the so-called skin pinch almost aways causes more harm than intended. Caution is advised.