One of the few razors I know of that also uses a parallelogram shape was the Ziglar slant razor. Only major difference here was the Ziglar was casted not machined like this. Not to be a bad influence but since I know you know that the slant design has also been implemented without bending the blade maybe a modified Wabbit slant might be a proof of concept to experiment with.
If anybody is interested. I will do a pass around. Keep your eyes peeled for a new post. I made a second razor today, so that one is going to @PLANofMAN as a thanks for the inspiration. I will send mine out for the pass around.
Some more not being a bad influence ideas plain old irregular slant or otherwise double sided Schick injector and AC injector blade razor. Something with totally assymetrical lines and angles all the way through or rhomboid shaped being a double sided double blade setup.