Here's the deal-- they may have found a bad cap, and just don't want to mess with a single cap for a nickel and dime, and also take on the liability of future repairs due to similar age and manufacturing date for all of the other caps. By the time they replace a cap or 2, may as well recap the entire board and be done with it.
I learned this with my internal electronics repair shop at my job, where they had absolutely no incentive to oversell me nor to spend more time on repairs than necessary (all the $ is in the same bucket). I had a PC give me BSOD, I inspected and found a bulging cap. Took it to internal repair, and that is exactly what they told me-- "In this scenario, we just replace all of the caps so we know this will not be coming back later for more caps, which wastes more time and $".
So, full recap of 2 boards, parts and labor for $200 is perfectly reasonable pricing.
Personally, I would do my own labor, but I already have the tools and experience. Even if you just have the tools, the experience would be worth the repair.