This happens very rarely. If you initially had no budget to launch it on a well-known exchange, it is unlikely that this budget will appear in the future. I can not remember a single well-known project, which would have started its path, first with DEX of the same level as pancake, and then got a listing on binans, kukoin, etc.
Oh I think theres a lot out there started with dex like pancake, and uniswap got started with dex. Especially some memecoins or some airdrop retro projects with literally have potential or honestly speaking got some monster volume. Its all about huge volume. Right now, there are potential projects that are gonna list with the likes of Binance with no charge. Ive been staying on dex mostly so I knew which one is started there and suddenly listed on big cex. Mask, people, shiba, pepe, bkex, yfi, comp, ape, crv and many more. These are highly unknown before and only lurking on dex. So how come it rarely happened. These projects rarely pay off listing fee and only listed by cex on their own accord. Want some potential listing insight? You heard of pendle finance? Not listed on major cex but only on dexes. Im not gonna suprise, one day Binance will list and other big ones. Its not just about how they start but how impactful they leave marks on community. Thats how hype and potential projects on dex become a cex aces.