So what is Pixie Control? It's based around Pixie Knight, which recycles Spells from the Grave and sticks them on the top of your deck. The idea is that given Goat Format's insanely sacky Spells, this generally lackluster effect becomes pretty dangerous. The "Control" comes from being able to play around threats and forcing your opponent to literally pick their poison.
So what's been adjusted? Two mainstays of the deck are 3x Pixie and 3x Shining Angel: Angel bounces though the deck into copies of Pixie alongside the usual Warrior Lady combo, so that's already seven Light monsters in the deck, not including anything else used. Using stuff like Purity and Freed makes pretty good sense given it helps to make the deck a lot more lethal than what it can usually look like in its usual plodding state. Adding in the usual Chaos tech makes as much sense, a few Dark staples and it's basically already set up to synergise.
Pixie Control to work requires very few Spells to be played; if you used the usual lot it would be kinda useless for the strat because it would be easy to play around. So what's left either gives us free advantage (Pot, Graceful) or mass destruction (Heavy, Vortex) manipulating the game and controlling the field in turn. Duo is a common mistake with builds; despite the attractive prospect of eating away at the hand the nature of the deck means that if your opponent does pick Duo, they are very much likely to just set as much as possible and then you've basically got a dead card in hand. Not to mention 1000 LP is not as easy as cost as you'd think, especially late-game where you can't spare much. You can add it if you want, I just think the deck doesn't need it.
Traps are the BIG feature of the deck, no shock there. Like Warrior we use a lot of backrow to also aid in the "Control" part of the deck, lots of backrow destruction, battle protection, numerous bouncing tech, etc etc. The spice comes from the Magical Hat inclusion. It's weird, but it actually helps the deck out a ton. You can use it to get your bigger Spells in the grave much faster, you can use Phoenix Wing or Compulsory Evacuation to bounce the Hat-induced cards into your hand, it's also additional protection if required, etc etc. Dark Coffin is the prime target for Hats, but it also functions well as a way to punish backrow hate by its lonesome.
Side deck includes some pretty basic plays. It also can completely change the deck if required by going into a Light-based Bazoo Return deck, switching pace rapidly and usually taking opponents off-guard when sided in properly given the rapid change of pace from a slowish, backrow heavy style to just powering though things with quicker games. A deck ready to counter Pixie Control is usually not ready for a Bazoo play.