Believe he stated this flow chart was from his own experience and suggest he may have no experience with the varieties you mentioned.There are a lot of misspelled genera on the list, so I'd suggest going through and working on those (less i's and more y's). Also, for consistency and clarity you should have the genus and common name of each coral listed. You're missing quite a few common and popular genera, Platygyra, Heliofungia, Tubastrea, Tubinaria, Echinophyllia just to name some off the top of my head... I'd do some more research on the placement portion, many listed as "sand" often occur on the reef structure in nature and will do quite well there in our aquariums.
Lastly, you've got some things in there that aren't "LPS", "Zoas/Palys" are stoloniferans and toadstool is an octocoral or "soft coral".
Good for you for taking this on, keep at it!