I am just about to pitch a Winexpert double noir that came with oak sawdust, so what I'm reading here is to just toss the sawdust, get some chips and add during secondary. Is this a correct assessment?
Yeah, usually the "sawdust" gets tossed in during the initial fermentation. I personally find the sawdust disgusting, don't know why, but one benefit is to provide additional nucleation sites for the yeast which helps with attenuation. I usually throw the sawdust away (or use it in my smoker) and add oak chips instead. For aging I prefer oak cubes or spirals for tannin extraction.
If you forgot the sawdust in the early fermentation, it's not a big deal. If you think the wine needs more oak after clarification just add more than normal, to taste, during the aging.
But the easiest way to improve your wine is to let it age for an extended time in bulk. Those timelines for completion are arbitrary and are MINIMUM times. Six to eight weeks for whites, several months for reds. The more expensive the kit, the more it will improve with proper aging, but any wine will show improvement. Dose with an additional 1/4 tsp of meta, then top off the carboy with a similar wine to limit oxygen exposure. Keep the airlock filled with water/santizer. Then LEAVE. IT. ALONE. in a cool, dark location.
After bottling wait 6 to 8 weeks minimum before serving. It's not a sprint, it's a marathon. Your wine will thank you. You're welcome.
Brooo Brother