I disagree in as much as I feel wood can have a huge effect on what I hear
I can hear the difference between an ash bodied strat and an alder or mahogany one
I can hear the difference between a mahogany neck and a maple one on a Les Paul
but i don't see that as disagreeing with Tim's quote.... you would be disagreeing if you said "body timber is the whole source of the tone".
I can also hear the differences between woods and from the guitar builder perspective it makes sense to focus on those factors as the foundation to everything else we do. So like him, you are also saying its a combination of those factors - but you are both coming at the same point from different perspectives.
If someone comes to you with a telecaster and a set of tonal requirements it does not currently meet I would assume you would focus on pickups first before wanting to swap the body. but I also assume you would provide a realistic viewpoint that that pickups wont counteract everything else about the construction that goes towards the whole sound. This is the essence of what I read in Tim's quote
I have a few examples I am working with recently.
*I made a guitar with a solid macasser ebony neck. everything else is pretty standard stuff, it has a mahog body but with a trem and i beleive this makes neck wood more important than body wood. Its very bright and the pickups i originally chose (emeralds) were completely wrong. with mule/manhattan set its usable but I am still not quite happy as it has an overriding brightness that I don't find pleasing. its now controlable, but not as instantly great as i expect
*Those emeralds in another mahogany bodied guitar are great. This one has a maple neck, hardtail bridge and 1/2" shorter scale. its certainly not pickup height that accounts for the difference in tone as I set up all guitars teh same way and tweak from there
*My John Birch is 100% maple (well, 99% maple and 1% body filler ;) ). It sounds pretty awesome with its dimarzios. well balanced, I can hear the maple, but its not anything like most people would expect from a solid maple guitar. Its about to receive a pickup change for a pair of John Birch Hyperflux's so I am very interested to see how that affects things. I believe some woods like basswood, and possibly in this case the maple to a certain degree, are more tonally transparent and in these situations the body wood effect becomes less noticeable