I never worried about the flower. I figured it was a device to help people open their minds, similar to the tangerine device. Just using old developed techniques that help people get where they need to be for the best effects with the system.
Accelerated Learning State, is one of Relaxed Alertness... it is heightened by being happy (gently smile that touches the eyes), and a sense of curiousity.
When you smile and feel it evoke real happiness you can feel it at the corners of your eyes. As opposed to stretching you lips is to a broad curve. Body and mind are strongly linked and you can use either to influence the other.
So back to the flower, do it to your own satisfaction. NOPS it.