What if a 1/4" Eco-Flec roll installation gets wet in a basement? Does it have to be lifted to dry thoroughly, or can it be air-dried in place with fans/dehumidifiers?

If our Eco-Flec Rolls were to get wet, you don't necessarily have to remove them to dry. Our rubber flooring is somewhat porous, so water can get under the rolls. If you are concerned that it had, you will want to remove the rolls to allow the subfloor to dry properly. If only a small amount of water were to fall on the floor, then letting the water evaporate over time is sufficient.