And I assume you have proof that stars did not or cannot exists while the universe is expanding?
You've missed the point.
Let me spell it out in simple steps:
In the real world, it happened in this order:
1. Inflationary expansion
2. Stars form
3. Light from stars undergoes small post-inflationary expansion
Under bob's notion, it happens in this order:
1. Stars form
2. Inflationary expansion.
In the real world, the light we see from stars
never underwent inflationary expansion, under bob's model it did.
These models predict
wildly different values of red shift. The prediction of bob's notion is contradicted by observation.