Hi DivBy0! This is Raech. I'm a fellow Outlook.com user and I'm here to help.
This is unfortunately by design. There is simply no option to bulk delete emails in the Search results page. The swipe feature also does not work in this area.
You may send any feature requests or feedback via Settings > Help & feedback > Send feedback.
Disclaimer: This is a public user-to-user community forum. None of us here work for Microsoft and it is beyond our capability to assist directly with account or login-related issues.
Sincerely,
Raech C.