Does your skin age faster than your organs?
The available studies do not directly compare the ageing rate of skin and organs, so an honest answer is: we do not know. What you can do is protect your skin against known accelerators such as air pollution and sleep deprivation, knowing that these also affect your organs.
The available studies do not make a direct comparison between the rate at which the skin ages and the rate at which internal organs age. Based on these sources, the question of whether skin ages faster than organs therefore cannot be answered.
What the studies do show is that the skin undergoes specific changes during ageing. For example, immune cells that monitor the small blood vessels in the skin and clear blocked capillaries are lost in both older mice and humans at a rate that is even higher than the loss of the blood vessels themselves. This leads to poorer circulation and slower recovery of the skin. In addition, the skin's barrier function becomes impaired through a combination of reduced energy production in cells and low-grade chronic inflammation.
But those same processes also occur in other organs. The condition of the heart and lungs, measured via maximum oxygen uptake capacity, declines measurably with age. Muscles become more susceptible to fibrosis. And air pollution affects both skin and organs simultaneously, not the skin in particular.
In short: the skin ages visibly and has its own vulnerabilities, but the research in these sources gives no reason to conclude that the skin deteriorates faster than internal organs. That would require a direct comparative study, and that is absent here.
None of the sources used (PMID 41094141, 38994987, 3292262, 35319169, 30419237, 27231897) contains a direct comparison of ageing rates between skin and internal organs. The claim can therefore be neither confirmed nor refuted.