Re: 6v G4 bulb overdriving Qs.
here's the formulas (off the top of my head) for halogen re-rating...
Vd=design voltage
Va=applied voltage
[(Va/Vd)^3.5]x rated lumen = re-rated lumens
[(Vd/Va)^12]x rated life = re-rated life
[(Va/Vd)^0.317]x rated CCT = re-rated CCT
[(Va/Vd)^0.55]x rated current = re-rated current.
So... you have a 6V 20W G4 bi-pin halogen...
Stock it runs at ~6V, ~3.33..A, (20W), ~300 Lumen, ~2950K CCT, ~2000 hour life, ~15 lumen/watt
Overdriven to 9V you can use the formulas above to ESTIMATE that it will run ~4.166A, (37.5W), 1240 lumen, 3350K CCT, ~15 hour life, ~33 lumen/watt.
This is not an exact science, many factors can make these estimates unrealistic. But is a guideline to start with to get an idea where to shoot for..
do you think 6v 2000 hours rated push to ~9v is brighter than WA111 and 12v 2000 hours rated push to ~18v brighter than wa1185?
Assuming you are talking about the same bulbs you mentioned above (both 20W at rated power) then they will both run close to the same output with close to the same overdrive (both being driven at 150% of design voltage). The 12V 20W driven to 18V might be slightly more efficient than the 6V bulb just because of the better filament shape on most 12V bulbs. But the difference is probably not noticeable. I suspect both your 6V and 12V 20W bulbs overdriven to 1.5X design voltage will run in the 1100-1500 lumen range depending on various factors.
The WA1111 driven to a similar estimated life (15 hours) will run at about 750 bulb lumen.
The 1185 driven to ~15 hours estimated life with run at about 1150 bulb lumen.
So will your 6V and 12V 2000 hour bulbs be brighter? depends on how hard you drive em in comparison to how hard someone else drives em.... Fractions of a volt make huge differences in output on incans.