When you send a lot of ETH or USDT to a big exchange like Kraken, do they care if its come from a smaller non kyc exchange like Blofin? Do they care if it came from a bridge?
I think it's not like that in my opinion and just from my knowledge of the centralized exchanges we're talking about that collect kyc. And I also think that these platforms don't care if the amount you transfer to other exchanges is big or small, whether the exchange platform you're transferring assets to is on a top listing exchange or not.
As long as they don't violate their policy, your account on their platform will remain in good standing with the assets they have, especially if their platform is regulated compared to other unregulated exchange sites.