I do offer two "FBA packs" for my own private labelled products but will not be restocking them when they sell out because of packaging challenges.
One big issue is discoverability. You will always be outranked by the sole product(s) as that's what people will search for. Customer acquisition costs are the major piece that many new sellers miss, and can easily sink an otherwise great listing.
That said, the great thing about selling on Amazon is the low barrier to entry. I would recommend you give it a shot and see if it works. Better yet, see if you can private label the product and have complete control over the packaging. (assuming branding is not an asset)
Seriously, send in 5-15 units and see what happens.