If you have a look at transactions, you can clearly see that all of them are done from SegWit addresses and SegWit was activated on 1st August, 2017, so, this should not be an issue because transaction fees become a problem since 2016 as far as I know.
The only way to tell whether the wallet is indeed making Segwit-enabled transactions is to see whether there is a witness data in the raw transaction hex.
That's true when we're talking about P2SH address (which has prefix 3...). But address input on all transaction which mentioned by @Synchronice use either P2WPKH (bc1q...) or P2TR (bc1p...) though.
But here it is different? Couldn't it also use an exchange so the transaction fee is a bit expensive?
Probably no. While exchange intentionally charge high withdraw fee towards it's user, they only spend fraction of it to pay Bitcoin on-chain transaction fee.
Yeah, exchanges charge high but actually don't send transactions with high fees and on different post people were quoting me that exchanges raise tx fees. For me, the high exchange fees for bitcoin withdrawals with actually low transaction fees make it very expensive, slow and unwanted process to use bitcoin for frequent transactions. Things are manageable when you use your own wallet but sometimes when I expect to receive one confirmation in 20-30 minutes, someone comes out of nowhere and starts to send transactions with 2000 sat/vB, raising fees for everyone and then I receive bitcoins lately.
Yesterday I was checking transactions in mined blocks and I don't know what to think but people really pay high fees for no reason. You'll see two type of people who pay the highest transaction fees: One are those who spend more than one bitcoin and another part are the ones who spend more in fees than in transaction.