Aircraft in 1910 are very much an untested and untried thing that to most folks had no appreciable military application perhaps beyond recon. Its simply too radical and new a thing to suddenly have the Kaiser who wanted a battle fleet and had spent a huge ammount of money building one to suddenly embrace a new technology as well as get this new way supported by the German admiralty.
I agree that building a 'main battle fleet' based upon carriers is premature in 1910 for all the obvious reasons. OTOH, with the HMS Dreadnought and the follow on classes, the Kaiser is going to realise that germany is not going to be able to outbuild the UK, and that not only are his battleships going to be fewer, but under gunned.
So what to do? The Germanys are already looking to give the brits hell with the U-Boats.
Lets say the Germans start off thinking that the aircraft cannot sink a battleship, but they do realise aircraft CAN sink merchantmen.
So Germany takes the plunge and builds a fleet of unarmored, fast, crusier sized flatops, with the idea that these ships can server well as scouts for the battleline, but really come into their own in the anti-shipping role.
As long as airborne radio's are standard equipment, then these airborne eyes can do the scouting for the submarines, and can drop bombs on merchantmen right off the bat. Later on, as aircraft become longer ranged and generally more advanced, who knows what state the German carriers might be in?
I would think that a POD that has Tirpitz fuming over the Dreadnought and QE classes, decides to try an alternate strategy.
I guess what it really boils down to is, not wether or not the Germans think that aircraft cannot sink battleships so why build them, but rather that aircraft can sink merchantmen, so build them in quantity, base them on small, light (Unarmored) warships, and start planning to gun for the merchie's from the beginning.