I tend to tell people "do what you have to do." I can start dialysis if need be, but most of the people you are seeing are sick for other reasons, and they (and their kidneys!) are not getting better without the underlying cause being diagnosed and addressed.
Though I would probably not be as cavalier as that webpage. It is reductive. CIN is real, but it is rare in normal kidney function. It is rare in stable CKD. Loss of residual renal function in ESRD is rare. It is less common with the newer agents. It is less common now with cardiac procedures as interventionalists can really get by with little contrast. It is more likely in the setting of AKI from other cause. Creatinine bump could be more hemodynamically mediated within the kidneys than true damage, but if I see someone who has a contrast study, and creatinine rises 2-3 days after a study, and there is no other obvious cause of kidney injury, and the urine shows granular casts, that is probably going to be called CIN.
It's always hard to tease out in the hospital as patients may have tubular injury from multiple causes. Practically speaking, you're not going to find anyone with ESRD from contrast alone.