Maybe they fixed it now but it still did that sometimes a few months ago. I've removed skype like 3 times on my work computer

This really depends on how your admin has configured it to deploy, it's installed with an XML file that has configurations on what features to install. Skype for business still exists for the few customers using the onprem sfb server, latest one being released 2025.

However if your admin has moved you all to teams, then Skype will tell you to open teams instead