BNB staying for long is already proven. With lots of real use-case of this coin, it won't likely just crash or disappear even if we count for 10 years. If meme coins are gaining popularity over time, what's more for a real coin with a great use-case. BSC network is also widely used now due to its cheap fees and quick transaction.
BNB's road to $1,000 is always possible. Others should not rush aiming for it.
BNB will stay as long as Binance exists. The moment Binance disappears, will be the moment where BNB will see its demise. That's the problem when there's centralization on a Blockchain network. Not like Ethereum which is heavily maintained and supported by the community. There are many people worldwide keeping the ETH blockchain alive, unlike it's the case with BNB.
Price-wise, I think there's a bright future for BNB as new projects continue to build on its platform. $1k is nothing considering that the best is yet to come. Knowing that BNB has lower gas fees and faster settlement times, tells me that Binance's little coin has a huge advantage over ETH. Other competitors have even lower fees, but they don't have a solid ecosystem like BNB has today. The market is somewhat bearish, so it's going to take a while before BNB hits $1k. Buying and holding the coin would be the wisest decision to make before this happens. Just my thoughts