One difference would be that you can stop any treatment in case of adverse events. But you can’t remove CAR T cells from the body once they’re in.
Well there working on blood purification in severe cases: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8245117/
"Four-day extracorporeal blood purification resulted in complete resolution of immune effector cell-associated neurotoxicity syndrome and greater than 95% reduction in interleukin-6 levels without side effects"
Of course where we have other cancer treatments that works well those should be a first line (at least for now - who knows how this will advance), but all too often we don't have good options.