Newbie on the site. Just received a BK2 here in the UK and researching the etching process to make that logo deeper. Could you say how long you were dipping the que-tip onto the blade to acheive that depth of etching? Couldn't say, but it doesn't go so fast that you don't have a chance to see what you're doing and how deep you're making it. All you're really trying to do is get the lasered logo a little deeper...literally 100ths of an inch.
Do you need to protect the surrounding black coating prior to the etching? No. That coating is the resist for the etching, and since you'll be removing it after you're done....
When you refer to using a door-bell transformer to blacken the etch would this be the same as using a battery powered process after using the mains battery charger?No. DC (Direct Current) deepens the etch, but it just eats away the steel. If you want to darken what you've just done, you need to use a (low voltage) AC (Alternating Current). House current is AC, but WAY too many amperes for what we're doing here. A doorbell transformer (or an alarm system transformer) are both good (and much safer) ways of applying AC to the etch.
Also, do you think you may get a good result by just resting the positive terminal onto the exposed sharp edge rather than stripping the blade as you did?As long as that 'gator clip is making contact with bare steel, you're good to go. But I personally would want it clipped on so it's making really good contact. You could still use the edge, but since the whole idea (at least for me) is to etch and darken before stripping, I just went ahead and got a start on the stripping. If you're not going to strip your new BK2 (congrats on that, BTW, it's a fine first Becker) then IMO it's not worth etching it in the first place.