Hi, a noob here. I find it interesting what you wrote regarding the beginners, puzzles and rather playin rapid than bullet.
{Insert air here}
The "funny" thing is, that there are also others who say that on contrary, people should also play puzzles and other types of chess instead of only rapid to see what fits you better. Which means different opinions on how to begin playing chess.
{Breathing again}
When i started to really play around 9 months ago, i had no idea about anything in chess. If i would play offline, on a real board, and would have to notate the moves id probably be lost.
{Does this count as space?}
At the beginning i tried to read some books about what to do at the beginning, watched videos, learn all kinds of openings.. and nothing seemed to really help. So i told myself that i should at the beginning just take one opening for each color.
{Breathing is a sport}
I cant say that i really improved but its going forward if you know what i mean. But.. the thing about the Rapid, atleast for me, is that i cant for example, after playing so often both bullet and blitz, concentrate on the rapid. Dont get me wrong, at the beginning i only played rapid until "i got into it".
Mostly because people take so long and my patience gets thinner and thinner with time while waiting for the opponent to make a move. Maybe thats why, i still didnt really improve much, who knows. But its still cool to see different opinions 
{Stops breathing}
Hello Ladies and Gentlemen.
If you're playing chess already since a year ago or more, and, despite your best efforts, still are stucked in places where one doesn't even get rated in real chess in real life, it's probably because no one ever bothered explain to you where it all begins.
Chess, when you want to play it like a sports fight, as in, unlike some board game with dices of your childhood, has prerequisites.
I'll use a funny analogy here: there is no point trying to learn anything about how to position your fingers on a bowling ball if you don't remove these boxing gloves you're wearing atm.
Most, if not all, you need to do first, has nothing, or little to do with chess itself.
In vain do you train yourself with puzzles, in vain do you try so hard to learn openings, when you just are in no condition to endure a proper game of chess.
Until you reach about 800 - 1200 Elo, the ONLY and one thing you really need to do, is a proper check up of the position on the board, before EACH and every move you're going to play.
You can't go there and further, if your being is dominated by sheer impatience.
Hence, adios (for the moment) bullet and blitz, Rapid games is what you should play only.
Then just by making sure you're not donating free pieces (and pawns) for no good reason, and not missing free gifts from your opponent, you should go to the desired level area, where, yeah, you can FINALLY begin to learn chess itself.
Until then, there is no point learning technicallities, just like there is no point in having a boat in a sand desert.
Some level of self control is what it takes, for knowing all of Magnus Carlsen games won't help when you keep not paying proper attention to what is going on during a chess game.
Voilà, and good luck with the endeavour. (but you could play other games aswell).