Your analogy is in error.

A bicycle tube is inflated partially, then inserted in the tire. Then, with the valve stem pushed through the hole in the rim, the tire is mounted to the rim, and inflated the rest of the way......the initial, partial inflation is done to avoid the tube being "pinched" between the rim, and tire. It has nothing to do with "stretching".

LIFE: "Choices, balance, and timing"

(Larryism)