I've noticed most large scale businesses want to white label our product. It's an easy in for them from a bureaucratic stand point. In return, as the owner of a product, it dilutes our branding efforts. I'd say go all in one way or the other. Both paths make for a different business model. White labeling sets you up for big accounts with heavy pricing and you'll be doing sales. Not white labeling sets up for mass marketing with volume scaled pricing, brand and reputation matter more here.
I think you need to get more detailed in your ask. Your answers are probably going to be significantly different if you're talking about white labeling a physical good (like Coffee or something) vs. software.