Birds Mouth or Strong Tie?
I guess they would work ok for a small utility building like your project, but I don't think they would be allowed on a major addition or new construction. I agree with jiggyback, they are primarily to resist wind uplift. The seat of the birdmouth will distribute the rafter load over the entire width of the top plate, whereas your method will concentrate all of the weight to the very outside corner of the plate, as that will be the only point where the rafter and plate will contact each other.
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