Galvanic corrosion
The thru hulls and the zinc are separated by a very large distance. What you are somewhat describing is an anodic plating process where and anode sacrifices atoms under an electric current to the cathode. Whil this may in fact be happening it would be at an extremely low rate due to the very small current,voltabe potential and enormous distance. This is a much bigger concern when two dissimilar metals are installed and actually touching each other like a steel screw in an aluminum hole, where the galvanic current between the two will cause galvanic corrosion. I agree you should fix the ground wire although not all will agree. My boat is also bonded to all thru hulls, keel bolts, etc. I think it is good to have lots of surface area in the water for possible lightning strikes. having the prop, shaft, and all thru hulls and lead keel as a conductor makes me feel a little better when faced with a storm a hundred miles out.
After 12 months my zinc was pretty eaten up, one of the screws was loose enough that the hex socket for the nut would not hold it tso I had to jam a screwdriver in to get the allen wrench to take it off. But it was still holding solid on the shaft and probably 1/3 to 1/2 of the zing was left. I made a note to change it more often just for ease of changing it without a haulout. Up on the hard it is a piece of cake of course. Under water you have to have all your tools, can't see, numb fingers in cold water, etc.
I've been amazed at the growth on underwater surfaces exposed to light in the beaufort area. A lot of current and warm water it seems to be a barnacle farm. So my other learning is frequent dives for cleaning. The rudder and prop are the two main culprits but the raw water intake was pretty clogged up. i am up on the hard at Bock Marine at the moment. Not just barnacles either, but oysters seem to like whateve bottom paint was applied, I'll be busy this weekend winterizing, sanding and scraping if the weather holds up. Really great people at Bock, hauled me out in the pouring rain day before thanksgiving.