Maybe it's not getting all the way wet? Because once low-po hair gets wet it takes forever to dry. I know that mine doesn't really get wet till I wash it, shampoo (even low-poo) has something in it that makes water 'wetter' so it can penetrate the hair some.
When I'm getting it wet I lift up the hair and let the water hit the nape hair, then let some more hair down so the middle hair can get wet, then let it all down so the top hair can finish getting wet.
When rinsing out shampoo/conditioner/whatever, same process.
But when I stick my head under the faucet in the morning it gets wet reasonably quickly, I guess that is a lot more water all hitting the hair at once.