I just took Avila's comment to mean that he desires to build a roster that is successful and financially sustainable. Which, IMO, is a reflection of the constraints that, as a GM, he has had to live with as the Tigers have been working through past deals. However one feels about his abilities as a GM, no doubt, payroll constraints have probably been a source of frustration and haven't made the job any easier.
I don't think it was meant as a deliberate shot at Mike I or DD or anyone else. Nor is it necessarily an excuse for how bad things got at points in the rebuild. But perhaps a window to a source of frustration for him over the past few years.