If using Basic Strategy ONLY...

On his Web Site, www.thewizardofodds.com, which is totally free, he makes a very convincing mathematical argument as to why the house edge at a CSM is actually smaller than it is for a six deck shoe for the non-counting basic strategy player

Convincing mathematically, but the CSM's used in the States just don't work the way he assumes.
There is a kind of cut-card effect with CSM's (see the Shufflemaster patent for more details), roughly equivalent to a cc about 7 cards deep, though it may be more or less depending on how long it takes for the cards to be put back in the machine. The effect can't easily be measured without extensive clocking, but it almost certainly results in a loss of expectation roughly equivalent to that of a cut-card.

Now I have no idea whether this guy is a shill for the casinos, but his argument is mathematically sound.

No, he isn't, though a few professionals (not me), have suggested he does not take a tough enough line with some of the online casinos he advertises. He also makes no secret of his desire to do casino consulting work, which is a colossal waste of talent in my opinion.

It is true that for the purely Basic Strategy player the CSM offers a lower house edge than a similar table without a CSM. The house edge is less on a CSM table compared to a traditionally dealt game (with same rules otherwise), since it is essentially a game played with a full deck almost continously. That's the way Basic Strategy is computed, it is based on a full deck just after the shuffle. You don't find a Basic Strategy chart that lists play variations after certain amount of cards are played. It assumes a complete deck for each play, since the Basic Strategy player isn't keeping track of cards dealt. Since the deck is kept complete throughout the game, you have the same chance at getting a blackjack or the ten-cards you need thru the entire game. The good cards are always in play and this aids the player more than the dealer, since bj's pay 3:2 to player (not the dealer), player can split & double-down (dealer can not), etc.

But even with this lower house edge, the CSM table will still cost the Basic Strategy player more than a non-CSM table at a slightly higher house edge, simply because the CSM table will get in many more hands per hour. Don't forget that the CSM table is still a negative expectation for the player, and that times the increased hands (plays) per hour results in higher losses for the Basic Strategy player than a slower non-CSM table would.

It is true that for the purely Basic Strategy player the CSM offers a lower house edge than a similar table without a CSM.

I am sorry to labour this point but it is just not true, and this myth may damage advantage players. Your point would be correct if cards reinserted into a CSM were instantly available for play on the subsequent rounds. No model I am aware of actually operates this way.