You are in a very different climate/water area than me (and already posted Stu Jackson who in the same general SF Bay eco system). Our boats are in the water year round. But anyway, here's my experience:
I bought my 36' boat in June 2007. It was and had been on the hard for the previous 1-2 years according to the broker/boat yard. But prior to that, the existing bottom coat of hard modified epoxy type bottom paint had been in the water for about 1 year. The owner of the yard/brokerage declined my offer to pay him to do a new coat of bottom paint before splashing. He said I should be OK for a while.
Back in the water, once a month or so, I did my own bottom brushing with a stiff swimming pool brush on an extending pole. I also made some curve attachments to get to the undersides better. This I did for 30 months. Twice during the period I had a diver over for general inspection, change zincs, and to clean areas that I couldn't reach well like around the prop shaft. On the 31st (or so month), I did my usual brushing then I pulled out the boat over in Berkeley, CA. Aside from a little bit of grass around the cutlass bearing and the bottom of the keel, the bottom was really quite clean. (Pics attached.)
I've now got Pettit Trinidad on my hull. One year now in the water. I still brush frequently. The sections that I can see well, such as the bow area and my rudder, are still totally growth free. The slime brushes off easily each time. The hull is still the original blue.
I think the thing is, provided its a hard bottom paint and not ablative, if the bottom is brushed or rubbed routinely before marine growth can get a good grip, then you can go a lot longer than conventional thinking suggests.
Do you haul each winter? If so, the yard should clean with pressure washing immediately after the boat leaves the water. Then with a hard bottom paint and a few brushing/cleanings during the sailing season, why can't we go several years?