The non-dual-endstop series-wired configuration will work like that, if you use two NC endstops wired in series. You won’t get squaring (which you wouldn’t anyway), but it is nice and simple.
Or even a single endstop will be enough, if your machine is not too far out of square. In fact this is what I do. I have one endstop on the ‘back’ of the machine, and a mark in the front so I can manually square the machine after homing. It’s not this machine but it’s the same approach: Regular end stops (not dual) - #16 by jamiek