In my opinion, front apron sinks (farmhouse sinks) are this generations’ bell bottom pants.
I think it will be out of style in the future and a curiosity. If it offered some real advantage over a top mount or undermount sink, it might have some serious legs. But as it is, its a fad (a fad fueled by Joanna Gaines of “Fixer-Upper” fame.
As for construction, I would use narrow pieces of plywood, installed with pocket-hole joints. If space is tight, those supports could be installed with the flat surface vertical—s that will work just as well.
If the sides are hidden, you can use Confirmat screws and through screw them into the pieces. Confirmat joints are far stronger than pocket hole screw joints.