I'm just curious: how did you get the value of 1Ohm. That seems a bit too small!!!
Assuming you use a 7,4V battery and want to use it for the white die (usually around 3,2V) via onboard PeX I get over 4Amps with 1 Ohm and almost 18W power dissipation on the resistor!
You should check your calculations!!!
And another thing:
This is completely incorrect. LEDs are wired in parallel all the time. It is the way the majority of LEDs in our industry are wired today, in fact. In parallel, you can control the current to each die through resistors, buckpucks or, if you have a board that does it for you like CF, through the board.
There's a little misunderstanding here.
There are no LEDs wired in parallel. As you said: You control the current through resistors or buckpucks or.... Which are in series to each die. The overall circuits are in parallel of course. But there are no LED dies in parallel. You always have 1 regulator (resistor, buckpuck, currentdriver, etc) in series with 1 LED die. But you never have i.e. one resistor in series with 3 LED dies (in parallel). Well of course you CAN do it. And it will work, but the chance of frying all dies is pretty high.
Sorry for the off-topic. Just want to get this straight...