Mike Devries has one of those up in Michigan. Some controversy as the far right is harder to hold, but not sure why.
I just designed one up in MN, where tee placement combined with certain pin placements might block a straight shot. We trust the super to place pin left when tee is right, and vice versa, but we can never be sure.
I would try to design some area of the green to receive a shot from one part of the tee. I would never purposely try to design in awkwardness. But, if the angles are diverse enough, making some areas work better from different angles is easier than making the whole green about equally receptive from different angles. Of course, it takes a big green to have multiple sections.
Generally, greens do one thing well on the approach shot, favoring one or another angle or shot pattern. One of the basics is whether you have an up slope to help hold shots for the golfer. If you think about it, a green can only slope up one way, unless a punch bowl funnel, which would make every angle play the same anyway, sort of defeating the purpose. Of course, you can use side slopes to funnel a ball down to the pin, so maybe the ideal multi angle green slopes up to tees on one side, but is fashioned where golfers can use the side slope from the other. Hard, but not impossible to do.