One word answer is "Yes"
Should you require more indepth read on.
All three impact on the black ops portal.
Reason behind this, the portal is an inversion of the black ops jump drive.
Following on black ops jump drive is governed by the same laws as capital jump drives.
Maximum range of a black ops portal at Calibration V is 4.5 Light Years. without calibration (assuming thats even possible, it would be 2 Light years)
Conservation works the same too, 300 units per light year at conservation 0 (for the black ops ship) 150 at Conservation V.
Now to the bridge math.
(BaseFuelNeeded for the Jump - (BaseFuel * (0.1*JFCSkill))) * 0.00000018 * (Mass Of Ship Being Bridged)
As you can see base fuel needed is the fuel for jumping the actual black ops...
Clearly if the black ops couldn't jump to the location he isn't going to be able to bridge either.
If you would like to test this out, load up http://evemaps.dotlan.net/jump and use their navigator, add in your fleet to the black ops and see the fuel useage differ as you change conservation level......
Lastly, fuel useage is on ship mass not sig radius, therefore on a black ops bridge mass modifyers are bad, therefore all MWD's and even AB's are off, and armour tanking is frowned upon. These items may cause deviation from fuel usage on the calculator.
Hope this helps.