There may be some confusion here regarding hoses.
I think the hoses that John despises are the FloodSafe style that has an internal check valve that is supposed to close off upon high flow, theoretically ending a big leak. Of course a small leak will do nothing but cause a slower flood. You need an end to blow off for the check valve to close. The other issue is if the flow rate of the check valve is too slow and they close during normal machine operation.
The AquaStop hose appears to be an entirely different animal sold under the Bosch name. These have an outer hose that surrounds the inner pressure holding hose. Should the primary hose fail, pressure will build in the outer hose shutting off flow (in theory). Note I am only going by Internet info here, perhaps these are as optimistic as the FloodSafe hoses and have caused known issues too.
The FloodChek hoses are just a standard hose (no safety valves) and they appear to be of high quality. They aren't crazy overpriced either really. The ends appear to be machined rather then just rolled which is something I always look for in a good garden hose. These may well be some of the best hoses out there. At a minimum they are made by a company that is proud enough of them to put their name on them. "China" isn't a company name, but it is what we see on a lot of items today...
The Stainless braid vs rubber jacketed hose debate is silly. The stainless braid sure looks pretty, and it could provide a little extra abrasion resistance, but it really does nothing to improve the strength of the hose. The cloth braid molded into the rubber is plenty tough. Perhaps the best thing the Stainless braid does serve is to hide an inferior quality hose (See above mentioned China brand). Failures are most common at the ends anyhow so attention to detail on the connectors and the assembly work are paramount.
My suggestion would be to A. Buy a quality hose B. Install it properly C. Inspect it often for signs of stress, bulging ends etc. D. Replace them every 10 years or so. If your laundry isn't in a basement with a floor drain, shut off the supply taps for the peace of mind if that helps.
It would be nifty to have a solenoid controlled supply valve setup that has floor mounted moisture sensors. If they detect moisture they clamp off the supply. That could buy some peace of mind, especially with a laundry area on an upstairs floor of a home!