kole, when you start a batch oh AP, the fumes are primarily chlorine and HCl gas. They will consume any metal they touch, like the tools hanging on the wall. As the AP develops, the HCl level drops, and so the amount of HCl in the fumes also decreases, but there will still be some present.
Bubbling the fumes into the bottle won't accomplish much because the bubbles will quickly rise to the top, burst, and the gas will simply join the gas in the bottle before being forced out. The fumes will only have the surface area on the top of the water to react. A scrubber depends on retention time, that is, the fumes need to be in contact with the liquid for a long enough time to react and/or be absorbed.
Scrubbers usually have a lot of surface area to accomplish this. If you filled your bottle with glass or plastic beads, then sprayed water over the beads, the fumes would be in contact with all the wet surfaces for a much longer time.
Better than water would be to use a solution of sodium or potassium hydroxide. The hydroxide would react more readily with the HCl fumes.
Finally, if you added a second hose to your scrubber bottle for the exhaust, and led that hose out that open window to the outside, you'd be better off.
As has been said, you don't want to run any of these processes in a house or garage or anywhere else that has anything of value in it.
Dave