Unneeded expense, in my view. Your mileage may vary.
I worked at a place with sensitive parts: unprotected MOSFETs. Breathing on them wrong could blow them. We didn't have jackets, but we DID have conductive flooring, wrist and heel straps, as well as thoroughly grounded benches and conductive tooling (virtually no essential non-conductors). That was sufficient for replacing unprotected parts killed before or during reflow.
If you still have issues, something like the Dr Schneider PC SL-001 Ionizer will eliminate the rest of the charge at your workbench better than a jacket will. I've had good results with them over a meter away. They're around $60-90USD on Alibaba, $118USD on eBay or AliExpress. As long as it's clean and working, you won't have a charge in the airflow. We have around 40 or 50 of 'em at work and haven't had any die, although I *did* measure two last year that weren't reducing the charge 'cos the operators forgot to twist the wiper weekly. Everyone got a demonstration when I found the second one, and no problems since then.