Another hardtop question-soft top on or off?

I recently bought a hardtop from a member on the forum,and have to do a little renovation on it,but for the question, what is the best way to fit this to the car?should I just fold the roof and unzip the plastic screen,and put the top on?or would be better to take the whole soft top off,before fitting,and store it?Im hoping not to have to put it on until the weather really turns,but where I am,the winter can hit fairly hard.Im concerned about the roof being creased,and squashed,for what may be a few months,what are the thoughts on this?(besides 'don't fit it!')

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