3.8,
Reverse bleeding does nothing except flush fluid and any contaminants back into the master cylinder where they may cause some damage. If it gets air out, I really can't knock it. But I have never tried it. Just remember, the fluid and the system wasn't designed to work or be bled like that. That's why the bleeder screws are on the wheels.
The fluid coming back into the master cylinder during this reverse bleed proves nothing for an internal leak. The main division seals in the master are a cup seal and will seal perfectly only in one direction. The other direction fluid will go right by.
Testing for internal leaks is real easy and only tests 2 things (which are the only ones of importance). 1 - the seal between the high pressure side and the low pressure side; and 2 - the seals in the main cylinder portion that actually make your brakes work.
For test 1: Once you feel confident there is no air in the system, pump the system down and than let the motor pump it up. While leaving the key on, and after the motor stops by itself time how long it takes for the motor to self cycle. That means just let it sit there while you watch the clock. Don't touch it. If it's less than 2 minutes it is considered to have an internal leak and needs work. Between 2 and 5 minutes it's just old. More than 5 minutes or you give up waiting you're fine.
For test 2: It's as mentioned eariler - Turn on the key with the system pumped up and push down on the pedal and see if it stays still or begins to sink to the floor. If it stays still, you're fine. If it sinks to the floor it's dying. The amount of pedal travel before the brakes grab doesn't mean much here. That's typically a factor of how well your rear brakes are adjusted, the condition of the sliders on your front calipers and the overall condition of the system.
You mentioned seeing bubbles coming in the rear port on the pressure side of the bowl during your cycling. If that is still so, you may still have air in your accumulator. Cycle it again. Pump it down and then look at the fluid. If it's frothy, let it sit until it clears up and they start over.
Sorry it took so long for me to reply.
Houston and Hell start with the same letter, and it's just about the same temp.
Z