Is this Better than Constructor Injection?

So after I finished my post on property injection I thought of something, maybe I shouldn’t use constructor injection for my classes.  Maybe, I can just use lazy properties that would call my IoC (Ninject) Kernel to instantiate the object.  So instead of defining a constructor like this:

I could just have a property Service do the work like this:

If I get rid of all my constructor parameters then I won’t need to change my ControllerFactory to use the Ninject Factory.  This keeps looking better and better.

What do you think?  I keep reading everywhere that construction injection is the way to go.  But why complicate my constructor when I can have the properties do the heavy lifting?  I would love to hear what you think.