The wrong kind of processing was used on the warbler image. It emphasized the photon noise rather than removing it.

Smoothing rather than sharpening is needed on the background. Only the detail of the bird itself needs any sharpen applied.

A quick reality check can verify this, though it will not come even close to providing a production image. Just mask off, or use a simple selection for the background, to separate it from the subject. The selection can be feathered to make the transition less obnoxious. Adjust the feathering depending on the pixel dimensions of the image being worked on. Then apply a Gaussian blur to the entire background. Experiment with how much feathering and how much blur.

Then reprocess from the beginning and back up one step for anything that brings out noise in the background.

Incidentally this demonstrates a case where "capture sharpening" is very detrimental.

PROOF OF PURCHASE is the one and only way ALL manufacturers verify that you actually bought the lens new and not used. Its required! If you choose to sacrifice your 6 year warranty right because you are too "embarrassed" to ask for a copy of the receipt, then that is your choice and your choice ALONE. If she does not want you to know what she paid for the lens she can simply black out the amount. But Tamron NEEDS to know WHEN the lens was bought AND whether or not it was bought from an authorized dealer to validate the warranty. No camera or lens manufacturer will require any less! Tamron offer their "Pre-Registration", you do not HAVE to pre-register for warranty work, but you WILL have to submit that proof of purchase to receive warranty repairs in the future. Their pre-registration is simply a convenience to the customer so you don't have to submit that same documentation again in the future should you need service.
Time to put on the big boy pants and follow all the rules that the rest of the world has to follow!