Main reason I went to clipless is for the rigid, stiff soled shoes. I have skinny feet with high arches and have had painful foot cramps with ill-fitting shoes for decades. With old school Detto Pietro shoes for toe clips in the 1970s, and clipless shoes now (Scott and Fizik), I get enough support to minimize foot pain.
But I use clipless only on the road bikes. The hybrids have platforms. I wear grippy low top hiking/walking shoes. I prefer those for city rides and group rides, since we stop often. I dislike walking much with Look Delta and Shimano SPD-SL cleats, although of the two the Shimano are better for walking very short distances -- like, to the bathroom.
I don't notice any advantage in speed that couldn't be attributed to the aero differences in the bikes. With clipless I can adjust pedaling style for a few moments if my thighs or hamstrings cramp. Can't really do that so much with platforms, although with really grippy pedals and shoes you can sweep back on the pedals in circles almost like using foot retention. Just takes a little practice.
But as with my experience using toe clips and strapped in cleated shoes in the 1970s, and clipless the past year, it hasn't made a huge difference in power transfer or speed over my familiar routes.