Burp Suite does not create a [dot]app folder, so every time I want to start it I have to open the Terminal and run "java -jar /path/to/burpsuite.jar", which is not a big problem but I very much prefer to press Cmd+Space, quickly type "burp" and then press the Return key to start the Platypus wrapper.
I have both community and professional editions installed (trial expired), and would always open via spotlight or the dock shortcut... not sure what's going on with the parent comment's application.