I'll totally agree stations have wide latitude on when they forward EAS alerts, rules-wise. And, of course, the rules also state that EAS participation is entirely voluntary. In Dayton, we don't trip EAS for things like Flood Watches...or even Flood Warnings. (Flash Flood Warnings, of course, are different situations...we activate for those).
But, I'm not arguing rules here. I'm speaking from a perspective of a higher rule, you know...that one that says "serve the public interest, convenience and necessity." Some of us...and a few broadcast companies, too...still care about that one, despite what some of you may think.
And, if a station is going to take on the responsibility of being the "LP-1" for a particular city, it seems like, in a situation such as a Tornado Warning, where life and limb can depend on timely notification of an emergency, tripping EAS for that only seems as though it's in the "public interest, convenience and necessity".
So, it wouldn't surprise me that a station such as WLW would trip EAS for a Tornado Warning in their area. I would assume they do that based on a plan there at the station. Their plan might differ from ours, but they know their area best.
And yes, another poster is correct. NWS can be very slow at times, in getting warnings out. I've gotten warnings on the air ahead of EAS, too.