A legit concern - it was designed by a non-musician. I own a '64 II and ever since acquiring it in 1974, I developed a shift position to address that very concern. The upper nub (no horn) is at my rib-cage and the body-bevel is floating on its own to my side. It puts my left hand comfortably at first position, but... the non-beveled edge digs into my ribcage and created a permanent sore-spot that I still feel every time I play it. I added an upper rear bevel on the Fenderbird I'm playing which really helps.
This pic of me playing one of my Fenderbird's illustrates exactly what I described above. Also note how I wrap the lower strap around the bout. This eliminates any neck dive and pulls the bass into my body. Developed that early on too. FTR, if you sling T-birds low, most of these issues are mute. I point these things out because a T-bird can be made to work for those on the fence about playing one. At the end of the day, the sound/tone of a T-bird is more than worth dealing with aesthetics over function.
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