LR Auto Crop and straighten

I doubt that would work. A crop based on sharpness would become far too tight, so you would at least have to add a percentage of extra unsharp pixels to leave the subject with some room in the frame. But how many? That would be an endless discusion. It would technically be possible, not I’m pretty sure you would soon decide it was pretty useless.

And straighten based on eyes? Do your subjects always hold their heads perfectly straight in all your photos? In the middle of playing a sport? What kind of sport do you shoot? Again this would fail more often than it would work, I’m afraid.

I agree, you wouldn't crop to the edge of sharpness, however sports images are normally presented with a tight crop and it's just my opinion but I would maintain the as shot crop ratio and add 5% on either side of the longest sharp dimension.  If the user could have control of the crop variables it would be very useful, at it would to me.

You certainly wouldn't straighten on the eye level as a default, but there are many occasions where I have no reference other than drawing a line from the tip of the nose down the centre of the body.  Having the option to straighten by eye level would be very useful where there is an expectation of the subject to be standing straight.  For me personally, I would use this predominalely for sports portraits where the subject is typically square to the camera, but it could also be useful for action shots such as running events or any other shots where the subject is straight on to the camera.