This is not a strategy design pattern #1
Description
It looks more like a Chain of Responsibility Design Pattern.
Good you have a few login methods. The linear search for the right strategy wouldn't work very well if there are many strategies: O(n). In other words we have a scalability issue.
Instead of leaner search, map process.env['LOGIN_METHOD'] to a strategy, then you can pull your strategy at the constant speed regardless of how many you have.