We were at DLR for Father’s Day in 2016. No crowds at all...however, there was a crazy heatwave (if I remember right 110+ degrees) PLUS it was the final NBA game and the Golden State Warriors we’re playing.
BTW, the heat didn’t effect us at all and we are heat wimps coming from Seattle. I am guessing it was doable because weren’t standing in lines for hours...walk off one ride and just hopped on another. I also booked us a reservation for lunch at Blue Bayou to take a break from the sun.