If you have to consolidate small inputs at higher fees, at least omit the inputs that aren't worth the fee. This transaction for instance paid 25.1 sat/vbyte for 698 multisig inputs. That's about 3250 sat per input. It includes inputs as low as 0.00001308 and 0.00001498 BTC, which at this fee adds a negative value to the transaction. They're literally burning money to remove money from their wallet.
Several other inputs pay a very high percentage of that input in fees. It would be much better to wait. I assume this is an exchange using an automated system, and it's amazing they still haven't figured out an algorithm that doesn't waste money (and block space). And at higher transaction fees, the amount of wasted inputs only goes up.