I have never filtered my kit wine (or any wine, for that matter!), so I don't know. Two potential benefits of waiting the prescribed time is the longer natural settling is allowed to occur, the less "stuff" the filter will need to remove and the better the wine will naturally degas. Even using the All-in-One pump, I find my wines benefit from bulk aging from the degassing perspective alone.
I mainly make red wines, though, so extended bulk aging (including barrel time) is always in my plan. The couple white kit wines I made (WE Estate Riesling, LE Traminer Spatlese, and Selection Pinot Grigio) all were made pretty strictly to the instruction timelines (no extended bulk aging) and all had the slightest hint of gas. I'm currently remaking the Pinot Grigio. I'm letting it age a bit in a topped up carboy prior to bottling.