Short answer: Some peptide-containing formulations have shown cosmetic benefits in human studies. That does not mean every peptide product improves aging skin, and a firmer appearance does not by itself demonstrate new collagen production.

What changes with age

Collagen contributes to the skin's dermal framework. Fibroblasts produce and organize this matrix, and their behavior is influenced by the surrounding tissue. In research comparing younger and older human skin, investigators found differences in collagen production and fibroblast attachment and spreading. The work supports a relationship between cell aging and the physical environment around the cells. Human skin and fibroblast study

A separate experiment showed how collagen fragmentation can alter fibroblast function. Together, these studies illustrate why skin aging is not simply a matter of “running out” of one ingredient. Collagen-fragmentation experiment

What peptides do in skin care

Peptides are used in cosmetic formulations for different proposed purposes. Some are investigated as signaling molecules, others as binding or delivery components. A product may also improve appearance because of its moisturizing base. Without a suitable control, it can be difficult to separate the contribution of a featured ingredient from the rest of the formulation.

One randomized split-face trial compared a moisturizer containing a palmitoyl pentapeptide with the same moisturizer without it. Such a design is more informative than a before-and-after photograph with no comparison. Even then, the result belongs to that formula, participant group and study duration. Original cosmetic trial

Appearance is not the same as structural change

Hydration, surface smoothness, lighting and measurement technique can affect how skin looks. A claim about “firmer-looking skin” needs a defined cosmetic endpoint. A claim about increasing collagen production is a different kind of statement and can also affect how a product is regulated in the United States. FDA distinguishes appearance-related cosmetic claims from claims to alter the body's structure or function. FDA on anti-aging claims

The most useful question is therefore specific: What did this exact product demonstrate, by which method, against what comparator? The word “peptide” alone cannot answer it.