That doesn't seem to make sense. SyFy's the one paying for stuff, so in the end I would think that what SyFy says goes, not what Brad Wright wants.
As I remember it SyFy was willing to keep at least one Stargate property on the air and BW was the one who pushed for SGU to be it. This was definitely at the expense of SGA. (I think SG-1 had already been put to bed at that point but I assume the sets were still available.)
The problem with BW talking SyFy into taking SGU was that it was a new show with a huge budget. They had to build all new sets and hire a huge new cast. It would have been way more economical of them to keep SG-1 or SGA because they had those sets and they already had established casts that were not as large as the SGU cast. More importantly, these shows had established audiences. SGU only had the
illusion of an established audience and we all know how that played out.
So the bottom line is that the SGU budget could easily have kept SG-1 or SGA going at least another couple seasons. And there would have been money left over too. They would not have had to build new sets nor would they have had to bloat the cast nor would they have had to do a ton of location shooting as they did on SGU with all the backstory flashbacks and magic stone scenes. That stuff all costs money, a lot of money.
That's the benefit of having established sets, you can use that money to produce other aspects of the show, which would have been great for SG-1 or SGA and would have kept the accounting numbers in the black.
Quite simply there's no way SyFy could have been the ones to advocate for SGU. How could they possibly have faith in the development of SGU without knowing anything about it? Brad Wright had to be the one to sell them on it at the expense of SG-1/SGA. He's the one (along with Cooper) who pushed to have SGU be the replacement show in the franchise. He's the one who pushed SGU as the future of Stargate. There's no denying this. It's his (and Cooper's) fault, not SyFy's.