I'm by no means an expert at pulling, but the manuals do have a slight advantage at the pulls.
They can launch at 4000 rpm and get boost as soon as they want it. With a good clutch, they start in whatever gear they choose to get the desired wheel speed. When the clutch is let out, they have full power and full wheel speed. It's a tough combo to beat with an auto.
Here's my take on the automatic battles.
With a loose converter, once you are up on boost, you have no wheel speed. It doesn't matter what gear you let it shift into. You'll just be basically doing a stall test with very little wheel speed.
In the past some people have chosen to combine this setup with a lockup switch. The result is broken input shafts and flexplates from the huge drop in RPM as the converter locks.
The next logical step is to run a tighter converter. Then you are very limited in turbocharger selection. You'll need a turbo that spools at a very low rpm. This limits top end power. It's a catch 22.
In my first sled pulling attempt at Muncie last year, I tried a tight converter (no transmission damage) along with a large single H2E turbo for good top end HP. I thought that in 1st gear, low range, I could gain RPM quickly enough to get the turbo lit and I'd be off to the races.

How funny it is now to look back.
I decided to powerbrake for as long as it took to get some boost so I wouldn't leave at a slow crawl. But the converter I chose had too much torque multiplication (is that possible?). 1st gear low range walked right through the brakes. I couldn't hold it back. So I just let off the brake pedal and crossed my fingers.
Basically, I pulled the sled past the 75' mark in 1st gear low range with 0 psi of turbo boost. The turbo finally lit, but it was too little too late and rather embarrassing I might add.
What's worse is I've been using my truck as a test bed and this year my converter is even tighter than before. What can I say, I'm a slow learner.
Go watch a few pulls and you'll learn quickly.
-Chris