What you have read is absolutely correct. In this aspect (wrinkles), Botox actually acts as a preventative medicine to prevent wrinkles from getting deeper and more numerous by relaxing the targeted muscle.
It is a quick and safe procedure when done by medical professionals and do not have any long term side effects to date.
I myself have had Botox for my facial wrinkles numerous times without complications.
The effects of Botox unfortunately only lasts between 3 – 6 months and as such subsequent touch ups will be warranted.
In terms of wrinkle prevention or rather anti-ageing (up keep of skin health), sun protection and a healthy lifestyle (eg. no smoking) will also be of benefit.
Hope that helps!
All the best.