IP/Brand Owner – Is FBA only worth it if you send them 1000s of units?

Been making / selling my product on AMZ for about 10 years. I’ve mainly only sold FBM, but briefly dabbled in FBA. With FBA I didn’t notice any enormous lift in sales, but I’m wondering if the reason I didn’t experience any huge lift is that I only sent them 200 units. They have 110+ Fulfillment centers in the US, so my guess is they’d need each one of them fully stocked with my product to incentivize them to push it more in the search results. Make sense? Anyone have any experience with this? Basically the question is, “If you send them more, will they sell it more?”