I think i understand the title differently now. As i had read it, you were going to bend a bond, like a T piece that you would bend along the spine. Instead you seem to want to bend the T piece somewhere down in the post of the tee, not necessarily touching the bond at all.
If this is the case then i'd say you are fine to bend a piece thats bonded, just bend it away from any of the seams. Focused heat would probably be better here than an overall heating, like bending strip...
I do agree, though, those cuts don't seem complicated assuming you have a table saw. But you could also use one long piece for the bottom/front/back faces with 3 bends in it, then square up the sides (bends will get wider) and add the sides and route off any excess with a flush cut. A bullet shape for the bottom/front/back would probably be easier to square up after bending.