Incredible! What a load of crap! Alpha sector of a circuit breaker???
The only answer I can agree with, says he's an electrical engineer, but the reason I agree with him is because he's basically right. You won't really get 'double' the protection but due to time delays, the impact that gets through the first one may be minimized at the second one.
The only real precaution about daisy-chaining power strips is that you potentially could exceed the power rating with too much equipment, causing the first one to trip the circuit breaker. And then the equipment simply wouldn't turn on.
Nothing bad or dangerous will happen to you or your equipment. The worst you'll have is that there are more connections to come loose and something not operating when you expected it to. But also keep in mind that the cheap surge protectors in power strips are mostly for excessive power line spikes.
Normal household voltage can run anywhere from 90v - 130v (nominally called 110, 117, 120). So the surge protector is good for something that might run up to 150v momentarily. Not very likely to happen.
For lightning strikes that hit your power line, you're talking thousands of volts, and that cheapie little power strip ain't doing jack to protect your equipment, no matter if you have 20 of them in a chain. They just don't act FAST enough.