I could go with either ship. Vader’s TIE Advanced works better as fanservice, but I’ve always been fond of the Lambda shuttle. Arguably, if we bring continuity issues and general geekness to the table, it’s equally nonsensical to pretend a ship survived the Death Star explosion and remain functional after 30 years of wear, be it the shuttle or Vader’s TIE. The minor advantage the shuttle has over the TIE is that it appeared prominently in ROTJ and one was glimpsed when Rey climbed the DS structure.
I don’t know what you guys think but for me, it’s easier to forgive Vader’s TIE being somewhere in the DS wreckage, than Luke’s fighter magically regenerating its missing wing when being lifted out of the water.
I am legally compelled, as a pedantic doofus, to point out that the entire wing wasn’t removed to make Luke’s door, just a piece of the outer panelling; the door isn’t thick enough to be the entire wing.