There isn't just ONE stress response.
But error prone DNA polymerase is a stress response gene.
It apparently only “totes” a vanishingly small amount of DNA - how does that small amount of DNA cover the numerous genes that must be modified via mutation from error prone DNA polymerase?
You really think 8% of a bacterial genome can “tote” all the information needed to have the appropriate modifications of every single bacterial gene to every conceivable stress?
So it doesn't HAVE to come from the “tote bag”.
OK then - can you explain to me again why bacteria have a gene for an error prone DNA polymerase and why it would be expressed during stress?
Your ‘answers’ where they are coherent, contradict each other.
Read my answer again and read your statement in post 407 indicating that you understand my answer.