Ok, I have a TON of things to say.
First, the definitions that are common in my area:
Savoy Style Lindy Hop: Dance using both 6 and 8 count patterns, done to Swing music usually between about 120 and 180 BPM. There is no slot but the girl does travel in a line in the (8-count) basic. She does NOT move forwaed on the 1-2, and the guy releases her on the 5, so she walks facing away from him on 5-6.
Hollywood Style Lindy Hop: Dance using both 6 and 8 count patterns, done to Swing music. Most moves seem at least sort of slotted. She does move forward on the 1-2 and walks backwards facing him on the 5-6. I may be wrong sice I don't really know much Hollywood Style.
East Coast Swing: Dance using mostly 6 count moves with a 6 count basic. The basic is a mirrored step, with compression right before the rock step. Can be done with tripe steps, step-touch (double time) or single steps.
West Coast Swing: I am pretty darned sure about this, as conventions with 100s of dancers can't really be wrong. WCS uses 6 and 8 count basics, with a few 4-count and lots of more advanced 10, 12 and 14 count patterns. The woman never rock steps on 1-2, and usually walks forward. Lead and follow is a "slingshot" or "rubber band" effect, with the woman moving back and forth in the slot. Music is about 90-140 BPM, not necessarily swing music. The WCS "whip" is similar to, and evolved from, hollywood style. WCS has influences of jazz, latin, hustle, and carolina shag (not collegiate or vintage shag) in its evolution.
If you can get the videos of these dances @ ballroomdancers.com, then that could help in our search for some way to describe dances to each other. I'd consider their lindy clips to be hollywood style.
Just my 2 cents,
Tegan