Let me put it that way:

• I am pretty sure that the original, show-stopping issue "PureMaps keeps running invisibly after closing, quickly draining the battery" has been successfully eliminated.
• When starting and stopping PureMaps about a hundred times on three devices over the course of my "speed testing", I did not experience any apparent start-stop issues of PureMaps. Still some subtle misbehaviour would have escaped my observations, as I was focused on "speed(ily) testing".