I went out on sunday, first time for f'in ages, decided to go out on a TT, get my water les back, lasted 1/2 hour, grabbeda 5'6" wide fish, no straps and had a great session, just cruising around and gybing, probably missed around 3 or 4 all afternoon!
I have both, I like my unstrapped wide fish (5'6" Lost cause!) it's a great board for learning stuff on and even with my 15 stone on it, it still provides a really stable ride, it also works sooooo well in mushy surf and the quads make for some nice turns when you crank it round. I tried straps on it once, but these type of boards are too wide IMHO, you need to be able to move your feet around to get the best out of them due to the width.
I did have a 6'2" thruster, I had very loose straps on that, great for silly days (although it's suprising how much power you can hold on an unstrapped board if it picks up) wasn't as easy to gybe as the fish, the footstraps get in the way. This board was a cyclone quad fin, it had great drive when you carved it round, really nice board, but I wanted to try something different, thats gonna be one of the JL boards.
call me a board tart for having both, but until recently those two boards was all I had, only just got me a TT again! That is the way forward, leave your TT at home every time you go to the beach, it's the only way, you get on so much quicker, big leap though, took me ages to do it