During the research of the full site version fiddlercore didn't handled the task because twitter uses sniff-protection. On the mobile version through the project maker, I was not able duplicate requests successfully too.
The only good solution I found when have sniffed a mobile version through Chrome and made a get queries tamplate that needs non authorized cookies and two cursors - previous and current to work. Every request contains of 20 followers.
As a result, the template can collect the full followers base. After two hours of the test the template has collected 100k followers.