Oh yes, there is something faster!!! How about a 4.2L vacuum pump?
Takes a bit of prep first though. You need an empty small peanut butter jar, one with a steel lid on it, some 1/8" or 3/16" copper or steel tubing, about 25 feet of appropriate size vacuum hose, and an epoxy like J-B Weld.
Drill two 1/8" holes in the lid, give yourself room to work.
Cut a piece of tube about 2" long and another long enough to reach about 1/2" short of the bottom of the jar while leaving ~1" sticking out of the top.
Scrape off the paint etc. around the holes in the lid.
Scuff up the tubes ~1/2" to each side of where they will pass through the lid.
Epoxy both pieces into the lid on both sides of the lid with about 1" sticking out of the top. Make sure that the long tube doesn't touch the bottom of the jar.
Cut a piece of hose about 2' long and attach it to the long tube. Attach the rest of the hose to the short tube. Use Dynosoar's turkey baster trick (HIGHLY suggest buying your own, borrowed ones seem to raise the ire of SWMBO) to fill the jar to just above the bottom of the long tube. Pour new fluid into the reservoir.
Attach the long hose to a suitable vacuum port on the engine.
Start engine.
Bleed brakes.
A note on this system; at idle the engine will pull air through the bleed screw threads. The only way to stop this from happening is to fill the threads with something. Grease will work, but remember that the rubber used in brake systems really doesn't play well with petro-chemicals. So if you use grease be really, really careful when applying it. The other option, if you can find some, is brake component assembly lube. Apply some of that to the threads and you're golden!