You can't really stop the price difference effects from setting in, there happen based on the larger crypto market effect.
However, that's the beauty of it, trading price differences is like literally day product sale, gotta buy cheap from somewhere and offload, but in most cases, it is often missed, haha.
HBD has been trading at 1 USD or higher on Polygon every time I have checked but Coingecko average price has been 0.90-0.98 USD so there should be some profit to take by buying on exchanges and selling on Polygon, or maybe this difference is from price conversions of BTC pairs.
HBD is traded against Hive down here, and Hive isn't some Defi token( also a volatile asset), its presence on these centralised exchanges makes it vulnerable to sharp price changes. So you expect that it takes a bit longer for Defi protocols to acknowledge the changes, and also, USDC price fluctuations adds up too.
If you check bleo and pleo currently, there are not even trading on the same figures, and come back to check the native Leo on hive engine, all different prices...
I don't really think that's a problem, because it mostly applies to extremely active markets( mostly trading in a specific pattern), if the market is slow, it will be hardly different.