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I do believe that the issue here is that when you refresh your form the same options are still enabled for you.
The reason why this happens is because browsers are smart today and always try to save the details that you enter into some form - as much as possible of course, so when you click on radio option it will show up as selected on a refresh.
The only way to counter this is to do a forced refresh, or just initiate a new load of the same page.
Once you do that, your selection should be cleared and the first radio options will no longer be selected - making the followup fields hidden.