One of our regular coffee stops is Cafe Dolce in downtown Franklin. They got a new supply of covers for the paper coffee cups and they are defective. Not in a major way but enough to be noticeable and easily corrected.
As you sip your coffee, the liquid covers the hole. There should be an air hole above to allow air to replace the coffee as it enters your mouth. The existing air hole is more like a fine pinhole. What you see above was widened with my house key. This quick and easy fix works well. Without widening the hole, you get a small sip and only that each time you tip the cup.
Now, if this is a safety factor built in to avoid burning your tongue, mouth etc. with hot liquid... that maybe an unintended consequence of the fine pin hole.