Yeah, but you won't have to come up with a way to get some power to your AE without having access to the tools locked inside. You just gotta restart your wood production.
I dunno, I guess it's the difference between having an extra cart in a chest as opposed to having a few charged cells lying somewhere, but I still think that there's no reason at all to drive your dumb always on production trough your smart sorting, crafting and storage system.
I made a tiny stub AE network that only managed my boilers and stored the resources used in them, then connected it to my main network with an interface/storage bus (which creates a 1-way link). I cant imagine running my boilers off my main AE network though, no. That just seems silly and prone to failure.