Odd. Ok. I have to think about how that would work. It would seem to violate Ohms law. Output current is determined by resistance load. Current = V/R. So, for instance, for a 2A3, the equation is 2.5A = 2.5V/1 Ohm. In theory, the resistance stays the same (it does reduce a bit with longer heat, but putting that aside), you have one fixed variable (1 ohm). Something else has to become fixed for Ohms law to hold true (and physics works like that). If there is a current limiter, maybe that does it because it sets the outside limit of current, which then (by ohms law) sets the voltage, but then the current isn't really floating, it is limited. I also think it is a bit odd as most current limiters are made as safety features.
As to the 6L6s, you will need an adapter to use as a 6L6 as it is an octal pentode. I guess you are saying you can triode strap the pentode and use an octal to ux adapter built to strap it as a triode? I have to think about how that would work. If that were the case, you could also use 807s (just need a different adapter as the plate/anode pin is the top cap).