I have a fold-up stove similiar to the Esbit one. I also have one of those emergency Esbit stoves (got it with a French RCIR 24-hour ration). They are pretty sturdy and can withstand several folding and unfoldings.

The fold-up stoves allow you to adjust the heat slightly but opening/closing the stove to different angles. The emergency stove really doesn't allow for that.
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