You're right, of course, Erik. There must be some tendency to sag in light airs, as the battens must weigh something. Equally, deeply cambered panels can look very saggy and unsightly in light airs. In both cases, the less the weight, the less breeze it will take to lift the sail into shape. I don't see a problem if the wind is over 5 knots, and below that, I tend to the view that an infernal combustion engine will do a better job of moving the boat along, much as I dislike them.
I do use light tubes for the battens, though my sailcloth is rather heavier than it needs to be. Much will depend on the weights of each that you choose.
There may be an argument for using a different curvature on the upper and lower edges on the panels, but if so, I haven't thought through which edge should be more curved. Should the lower edge be curved less, so as to support the batten better, or curved more, so as to let the batten sag to its fullest extent and still have enough cloth to put in the camber? Should the upper edge be curved less, to avoid an excess of material in the top of the panel as the batten sags? I don't know.
I'd better come clean here, and admit that I've been upgrading my battens over the winter. Last year, they were 30mm diameter GRP, except for the top sheeted batten, which was 38mm GRP. They seemed to be strong enough, but rather more flexible than I liked. I've invested in some 38mm carbon fibre tubes, using them for the middle and after sections of all battens and re-using the existing 38mm GRP tubes for the forward sections, where the greater weight is not too harmful, and will help the sail to come down readily. The 38mm carbon is only marginally heavier than the 30mm GRP, and of course much stronger and stiffer. I don't suggest that carbon is necessary to make successful hinged battens, only that lighter, stiffer, stronger battens must be better than the reverse.