Does poor sleep quality affect skin ageing?
I think this will depend on age, quality of sleep and time-frame of poor sleep.
There have been some studies demonstrating that poor sleep, for a protracted period, is likely to result in increased trans-epidermal water loss (TEWL). This is likely to make the skin more lined, less plumped and can make the surface quite uneven. Skin tends to recover from sunburn better in people who sleep well.
Interestingly, people who suffer from protracted sleep problems tend to rate their appearance as less attractive, not just their skin, when they are sleep deprived. So, if you are, you skin might not look as bad to other people as it appears to you!