Knowing that lake if you make an issue of it they will simply ban kayaks.

I fish Ladybird Lake in downtown Austin out of my kayak. It's home to races, practices, and timed trials for rowing crews. It also gets a fair amount of kayak and bass boat (trolling motor only) pressure. Since the lake is long and narrow, it gets crowded. No one owns the water, but the way it should work is the fishermen get 10-15 yards of water toward each bank, and the rowing crews take the middle. There are some obvious things that shouldn't be done, like anchoring up in the middle of a bridge span. The rowing crews are quite vocal about alerting kayaks, canoes, and paddleboarders that they're underway and to stay clear of their (imaginary) lanes. The problem manifests itself mostly at dawn, in low light conditions when the recreational kayaks, canoes, and paddleboarders are off the water. The rowers like to go three and four wide at such times, and that makes the edges very crowded, especially as that's the best time for fishing and when you're focused on fish, it's hard to stay focused on not being broadsided by a rowing vessel. Somehow, it all works out. I've had lots of close calls and near misses. It helps to have your head on a swivel and a whistle handy. Sometimes they simply are so focused on their rhythm that they don't watch where they're going. I've seen some epic collisions - one that took a chunk out of a bassboat's polycoat and dumped several rowers. It wasn't a happy scene. Mostly, though, both sides watch out for each other. Kayaks are way more nimble and should endeavor to clear out of the rower's way, but the rowers also should be aware that they can't expect to take up the entire width of the BOW.

I believe he is thinking about anchoring on a spot

I experienced this on Bachman. Anchored off one of the two good points on the lake
The rowers row with their backs facing the direction they are heading
Blew my whistle loudly multiple times as they approached and they just barely adjusted their path in time, just grazed my kayak. Could have been a bad outcome (they don�t wear or carry floatation on board)

Not anchoring in or near any boat lanes
They usually just go back and forth in the middle

With my experience, sometimes they decide to go around the perimeter (maybe if they have some beginners in the row boat ?)

So how many times have you kayak fished the White Rock or Bachman?

I mean, you know it and all.

Knowing that lake if you make an issue of it they will simply ban kayaks.

Or...since you are in a very mobile kayak you could just move for a second, let them pass, and go back to fishing.