Testing is not part of the Scrum process, so we can eliminate it - and save money by sacking the testers.
I've had the joy of working with a company that seriously thought about taking this road.
It was a shock for me not because I come from a testing background, but because it's wrong on so many levels:
Agile means: Deliver valuable softwareBuggy software isn't valuable. We don't expect to get praised for a "job well done" if the result isn't both usable and useful. How do you know that it's usable without testing? How do you know it's useful without testing?`
Agile means: Deliver value oftenWorking on bugfixes drains resources. The only way to prevent bugfixes is by not introducing bugs to the customer in the first place. How do you know that you don't have bugs without testing?
Agile means: Deliver value fast
Agile means: Eliminate waste
Well. That may sound true if you have a superficial understanding of (software) engineering.