The video is pretty good for beginning Falco's, but you're also missing some things, or over emphasizing some.
First of all, the Phantom Stall isn't used since its a bad way to regain your invincibility. Most players simply let go and jump back on. The only time a Phantom Stall is used is if you can do the infinite like Zhu. You also didn't include edge hop Dair... which is probably the most important one of them all. For the turning in a shine, its mostly used in a wavedash, e.g. run shine waveshine backwards onto the ledge. Also, you didn't show all the other methods of getting onto the ledge quickly such as SHL or simply walking off like Myko.
When you discuss the SHL and how it's good for approaching, you don't really show how to use it. In the video, almost every approach is a smash or a grab. Also, it might just be a terminology difference, but I thought pillaring referred to Dair->Shine on a shield, in order to pressure them, and the other ones were called shine combos. Pressuring some one's shield is never mentioned in the video, only thing shown to counter it is grabs. However, if they spot-dodge the grab they can grab Falco back. Furthermore, you don't have any real waveshine combos in the video. In fact, many of your combos didn't seem like it would work against a human opponent, such as the combos you did on Marth.
Phantasm spike should never be used, only on accident or when the match is pretty much decided. It's too risky and against any good opponent it will probably be cancelled immediately. For spiking, I never heard of an offstage spike being called a Bombsoldier, and you never showed a low ledge hopped Dair as an alternative to spiking. There's also no section in the video about edge guarding.
In the video, most of the time was spent showing the back throw over the other ones, although it is probably his worst throw. The Dthrow cannot be used to spike like Fox's since the laser will knock them out of the animation and allow them to recover. A person can stop the SHL-> Fsmash after a Dthrow, its not that difficult. You should include more about tech chasing after the Dthrow, or else anyone who tries to learn from it will end up spamming Dtilt afterwards or randomly shooting lasers and trying to Fsmash or trying to chaingrab Fox, which doesn't work. The Uthrow is mentioned as not being very useful, although it is one of his best. There are many combos that can start from a Uthrow, such as Uthrow-> Nair, Uthrow->Uair, Uthrow->Dair spike, or Forward's combo of Uthrow-> Fmash on Fox.
The video does show much of Falco's potential, but the video content shows many "noob" tactics. The majority of the video showcased smash attacks and combos or techniques that wouldn't work on a human opponent. It may get these ideas into the newer players and create bad habits. The last thing that bothers me is saying Falco is very easy to pickup, although he is the 2nd most technical character in the game, has horrendous recovery, and get comboed easily by almost every single character. In short, the guide gives a good introduction to beginning players, but misses many of the more advanced techniques that a good player would utilize frequently, and shows easy "noob"-friendly combos that won't work in real games.
