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How critical is it to have the transverse brace glued to the top over a flat backing rather than over a 28' radius dish?
I ask with slim hopes that I won't have to remove the transverse brace I glued to a top over a 28" radius dish.

-tommy -the poster boy for acting before thinking

the brace can be done both ways depending on your style. I prefer flat . I will glue a flat brace in the go bar with a jam stick so that I know it is on the top. That is really all that matters. As long as the brace is well glued to the top you won't have structural issues.

did you radius the brace? how is the joint? good squeeze out during glue up?

As John said there are several ways to do this but you don't want to mix methods.

Brace is not radiused.
Joint is good.
Squeeze out was good.

-tommy

Just be cognizant how this fits in your overall plan. It can affect the fit of the fretboard extension to the upper bout. So it can be a good thing......or complicate things a bit.

I like the idea of a bit of radius in the UTB for stiffness and to ensure the upper bout doesn't go flat in low humidity.......but you have to have some plan to ensure the fretboard extension lays flat where it glues to the upper bout.

I never saw a traverse brace dip but we know the X do . There is a good stiffness there. One thing with the domed braces is they will rise in high humidity. Like was said , Use the one that works for you.