I haven't worn full waders more than once in 15 years because I almost exclusively wet wade and it's stocking foot hippers in the dead of winter. My usual approach with stocking foot anything is a wool sock on my bare foot (layered with a liner sock if it's REALLY cold), wader Neoprene bootee, wading shoe.
When I wet wade it is a wool sock on my bare foot, Neoprene guard sock over the wool sock and the same wading shoe I wear all the time. The key is to use a Neoprene GUARD sock that is thicker like your wader bootee and has a gravel guard versus just a Neoprene sock that is thinner without a gravel guard.
When I wear the wool sock & the guard sock together, I get the same fit with the same wading shoe as I have with waders/hippers. The wool sock adds some cushioning and reduces that sloppy slippery feeling of my bare foot in wet Neoprene. When I get home, I hang up my wading shoes and guard socks to dry and throw the wool socks in the washer because that's the only thing that holds an odor.
The other absolute is I NEVER wear shorts which I never wear anyway so that's easy. When wet wading I wear thin Supplex Nylon long pants tucked into the wool sock/Neoprene guard sock combo. Supplex Nylon is light & cool and the pants dry out in short order. They will save you from just about everything but thorns & nettle, but they are easier to avoid than poison ivy and bugs.
In regards to the original topic of a purpose made or wet wading specific shoe...
I never understood not needing a quality wading shoe that supports, has traction and doesn't let gravel, rocks and mud in just because it's hot. Do your regular wading shoes miraculously get heavier and the rocks less slippery in summer?
If so, when exactly does this happen, late June....?
The beauty of wet wading is you cool off once you get in the water so I never worry about how hot I get on the way to the creek. Another thing that helps is a bandanna around my neck that gets dunked in the water frequently. When I quit it's usually cooler and I have cold beer waiting for me in the back of my SUV, a change of clothes if I feel the need and the AC for the ride home.
Stay cool...