Why the L matters more than anything else on the label
When austenitic stainless steel is held between roughly 450 and 850 °C — which every weld does on its way to cooling — carbon migrates to the grain boundaries and locks up chromium as chromium carbide. The boundaries are then locally short of the chromium that gives stainless steel its corrosion resistance, and the material corrodes preferentially along them. This is sensitisation, or weld decay, and in a chloride-bearing environment it is quick. Limiting carbon to 0.04 % means there is not enough of it to do meaningful damage. Using plain E308 on 304L parent material undoes the reason the parent was specified as L in the first place.