Wrong.
Only you see it that way because you don't understand that not all situations have the same options.
Reilly was at his best with Hainsey. IMO that was true. It can also be true to say if you could clone Hainsey as a RHD, he would be more effective than the LHD Hainsey. The Leafs didn't have a good RHD option at the time, and frankly still don't.
Lidstrom is among the best D in the history of the game. I'm sure he would have success with a number of different partners, regardless of what hand they are. But again, it would always be better if that same partner was on his strong side. A player on his weak side is always at a disadvantage. It's just a fact of hockey. If you don't get that, I question how much hockey you have played. Now, can a LHD play well on the right side? Yes, of course. But they would always be MORE effective on their strong side.
I can guarantee you this, nobody on the Leafs D is in the same galaxy as Lidstrom in terms of capabilities as a D, so using him in this context is laughable.
What we know as a fact is many of the great coaches have a PREFERENCE for LHD-RHD pairings. Some people trust the science, in this case I trust whar the coaches say.