Another observation regarding rattles and squeaks....I'm not discounting the tire tread/ply construction influence. My S+ came with oem Firestone 740's. These tires ride very soft and luxurious imo, but the handling and wet traction was poor in my eyes. I changed to a full set of continental true contacts for mileage and better handling.
I was satisfied with crisp handling and great wet traction/braking but I lost out on the tread wear, and was disappointed with how much the ride firmed up. Pavement ripples and ridges get transmitted into the interior, thru the seats, dash, and steering wheel. Resonant buzzing at certain speeds is more prevalent than with the firestones. This generation Corolla is more "buzzy" than I expected (regardless of tire brand) which is contributing to a poor fit and finish perception. My 2004 LE and 2003 MR2 with the similar 1.8L motor are not as buzzy so it seems unique to this flavor of unibody. FWIW, I do like the rocket ship analogy!