Is this the video he's referencing that he says he disagrees with?
I too assumed he meant this video... a favorite of the "tone woods don't matter for electric guitars" crowd.
The various Telecasters he makes in this video sound as different from each other as I would expect. People who listen to this video and think all 4 creations sound exactly the same... well, they are (not) hearing the thing they (don't) want to hear.
Pretty much any amazing on-record guitar or bass performance could have been performed on a way cheaper and supposedly-crappier instrument made of some supposedly undesirable material, and so long as the setup was good and the player, strings and all other factors were the same, that part is likely still gonna work, and the recording would still be great, maybe even identical in every sonic detail, after everything is mixed.
BUT if I pick up 2 identical guitars in a shop, and one feels like it resonates a bit more against my body as I play it, that matters, even if most people couldn't tell which guitar was which when recorded.
If one instrument sounds just a tiny bit less shrill when the tone is wide open, or just a bit more articulate with the tone all the way off, that matters.
If one instrument has slightly darker or brighter mids than another, that matters.
If one instrument has a slightly sharper/more pronounced attack transient, that matters.
These things might not be that noticeable in the recording itself, but added up over the hours, days, weeks and years you'll spend practicing and performing on that instrument, those little 5% differences will conspire to lead you in different directions... you'll practice a bit more, or you'll write a part that really shows off where that instrument shines, or you'll avoid playing things that you don't feel that instrument really lends itself to.
Maybe the guitar that sounds best to you acoustically, before it's plugged in, is made of poplar and only costs $300. Totally possible, and great when that happens. But seeking out an instrument made from an especially-resonant piece of light alder, ash, or similar is not a pointless pursuit.
We're talking about musical instruments, not kitchen appliances. How the instrument feels in your hands and in your lap, and all those final %s of a % differences and variations matter. Different details matter to different musicians, but none of them can be universally dismissed, nor conclusively "myth-busted" in the way that video seems to imply to some people.
IRL, if you went to some meetup and Ted Greene was arguing with Dimebag Darrell (RIP, dudes) about the importance of tone wood, you'd be like "ha, that makes sense, these two people have VERY different tastes, goals, and outlooks. I can see why tone wood is more important to one person, and less to the other person."... but for some reason, on the internet, that kind of context never seems to get considered, and instead we just read disembodied comments and think that some universal truth is at stake that we must fight for...
..lol...