All other things equal I would assume the tradeoff is like this:
A skinnier rear tire will cause the bike to have faster turn-in (flickability) and steering on corners, but sacrifice some cornering contact patch and stability at high lean angles.
A wider rear tire will cause the turn-in to be slower, but will be more stable and have more traction once leaned over due to the larger contact patch. A wider rear tire can be leaned over further than a skinnier tire as well (provided ground clearance isn't an issue), since there's more tire real estate to lean over on. Hence modern sportbikes have 180/190 section tires. And a wide rear tire also looks trick.

I'm looking to go with a 150 section radial for better handling and tire selection.
Are these assumptions correct?

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