Fees of sending USDT is pretty cheap on any blockchain besides Ethereum which will cost you like $5-10 a transaction on a good day. Unfortunately a lot of exchanges doesn't support USDT withdrawal on other networks besides Ethereum.
Also the fee on Omini layer is costly as also on Ethereum network like you said.
Zero fee on Algo network
$1 or less on Tron network
$1 or less on Solana network
$0.8 or less on BSC
Very cheap fee on some other networks too.
BUSD from Binance exchange withdraw fee is zero but all of the fee is maybe near 1$ so its depend on exchange to exchange difference and wallet to wallet if we withdraw TRX its very cheep.