Running Windows 7 Ultimate 64-bit, PWS 3.32 (g1d3604e). Browser: Cyberfox v. 24.0.0
When right-clicking "browse to URL + Autotype" the correct URL is opened, however the autotype is not performed in the browser window.
Usually this is a browser-specific or even website-specific issue.
This will fail, for example, if the browser doesn't render the website quickly enough for the login/password fields to get focus before the autotype begins.
As PasswordSafe has no way of knowing this, the best you can do is either play with the delay before autotype starts (see online help) or first browse to URL, then select autotype (2 operations).