When working across multiple GitHub organizations (e.g., a company org and personal repos), it's useful to open different repos in different browsers. For example, I use Microsoft Edge (with company SSO) for all work repos under company org, and Safari (which is my default browser) for all my personal repos.
Currently, git-open uses the system default browser or the BROWSER environment variable, which applies globally to all repos. There's no way to configure different browsers for different remotes/organizations.