I find the "alternate growth rings" thing to be rubbish. All else being equal, I will orient them in alternate, but I will not sacrifice grain match to do it. It's way down on the priority list when I'm putting together a panel.
Also, a 7" wide board is going to only be a fraction flat sawn, with the majority being rift sawn to quarter sawn. The flat sawn is really the only material that I worry about warping much. And since I use properly milled and kiln dried lumber, I don't worry.
Third, most panels large enough that you'd worry about movement...they'll be forced into flat by something else anyway, be it a frame or just held down with screws like a table top would be.
In summary, I think alternating ring patterns is probably technically best, but in practice it makes very little difference.