No, that is the VCC for the board the HC-06 is soldered to. I believe some people actually get away with running that at 3.3v but it can't be a good idea - as I believe you are already aware...
Nonetheless, this all sounds very interesting, I think...
So, do I understand correctly that you used that article to make a conversion rather than the stated repair?. If so, it sounds like a better alternative than using a bare HC-05 module as I suggested - even if you don't already have a module on a breakout board ready to hand. I have published a child's guide to HC-0x Bluetooth, but I have no actual experience with 3.3v Arduino. It looks like what you have done will be a worthy addition to those notes.
Question: Could you not short out/remove/bypass the regulator, thereby enabling you to use the available Bluetooth VCC pin in the normal manner?