Perhaps, but it also has a profound effect on electrics. Maybe not so much of one is running through a bunch of pedals etc..
This is a good point. The difference that you notice with woods will depend on how you are playing. If you are bashing out power chords at Defcon 5 level volumes via a stack of pedals, then wood differences might not translate into heard differences all that much. If you are playing fingerstyle and plugging straight into a touch-sensitive 6v6 amp at the edge of breakup, then wood differences might translate into heard differences for you more significantly.
But here is something undeniable. Even with electrics, different woods will _feel_ different, and all I mean by this is that different woods (in both the body and the neck), will differ in their ability to transfer the felt vibration of the strings to the hands and body of the player. In other words, they differ in their ability to transmit tactile feedback to the player via the player's body. This might not be terribly noticeable in front of four Marshall stacks, but it is real. Go to a guitar store and grab a bunch of electrics off the wall and play them sitting down (so that they are resting on your thigh), and unplugged. Some people like a guitar with minimal resonant feedback, others like one that will maximise it. Personally, The more tactile feedback for me, the better. Otherwise I tend to overplay in order to try to get the tactile feedback that I am missing. It is because of this that different woods will affect directly how it is that I touch the strings and how I play the guitar, and how it is that I touch the strings and play the guitar will, obviously, translate immediately into heard differences between guitars with various woods.