Final answer:
Lipid-linked proteins are not classified as peripheral membrane proteins; they are a distinct category with hydrophobic domains that anchor them to the membrane.
Step-by-step explanation:
The statement that lipid-linked proteins are classified as peripheral membrane proteins because their polypeptide chain does not pass through the bilayer is false.
Peripheral membrane proteins are more loosely associated with the membrane, typically found on the inner or outer surface and can be attached to integral membrane proteins or to the phosphate groups of phospholipids.
In contrast, lipid-linked proteins have a hydrophobic domain that helps anchor them to the membrane, but they are distinct from both peripheral and integral proteins.