How do I add a specific cut pattern with a draft around a curved surface?
In order to Focus on your question I will Keep the bottle thread out of the tutorial.
First step is to create the bottle with a 0.5 mm debossed wall than the expected Dimension.
Revolve Feature gives you the following solid
Next step is to create a wrap Profil. Improtant is to Keep some gap between the mountain edge and the bottle edge (untill which edge the Profile is still cylindrical)
I kept 0.1 mm gap in this case
Use wrap function in order to wrap the Profile around the bottle
Next step is chamfering.
Last but not least filleting