Thinner resins would work better since they would flow around more, the thicker resin is more likely to stay in the same place and receive repeated exposure from indirect light from the laser. That’s also why there’s more material around supports because the resin sticks in the crevices more easily.
The issue with thinner resin though is that the pigment will settle out of it more quickly, you can end up needing to stir it after each print to get it mixed again, not sure if it would be as bad enough to where it would settle too much during a longer print.
Though I think there might be able to develop a printing method where the printer could spread a small layer of resin on the bottom of the tank for each layer and so keeping the amount of resin in the tank very thin rather than submerging the print each time could reduce the effect. Doing that method might even benefit from oxygen inhibiting the top of the resin from curing.