Tape is amazing. I love these simple effective hacks with tape. Tape cured my plantar fasciitis: took all the tension off the ligaments and let them heal. This website heelspurs.com (which doesn't come up in search engines I had to remember it) is where I learned about it.
Tape is also great for stopping wart development, specifically duct tape.
Yes, It starves them of the air they need.