I don't post much, love to read, spend more time normally over at
http://www.kawiforums.com/zx-7r/ as ****** lives over there with the EFI project... Anyways...
Next time it dies. Put the bike in first gear, DO NOT PULL CLUTCH, try to start. This is the correct procedure to Prime the Carbs. You will hear it pulsing, then slow down, and stop... If it never stops, you fuelbowl gaskets are worn or set to the wrong height. If you hear nothing, your Bowls are full....
A Big problem the 7s have is Vapor Lock. ****** has us wrap all our fuel lines in header tape, and makes a big difference. Also, another cheap way to make sure your pump is pumping good, change the points. Only have to Solder one wire, but it will be a puzzle if you let it fall apart. Here is one on FleaBay now.
CLICKY HERE...
On the other Forum, ****** has a Good to know guide about our 7s sticked. The Grey wire not getting 6volts to the CDI is a problem as it seems to heat it self up inside the ignition switch.
A Can of Starter Fluid will tell you for sure if it is a Fuel or Electrical issue...
Good luck brother, the 7s are still the king of the Sports Bike World with the years they dominated!