Sending ETH vs Withdraw/Deposit

Hello,

I have a question. I want to get my ETH from one exchange to another to stake it there.

If I send it from one to another, it says I pay 20€ (i assume those are the gas fees?).

If I swap to € (0,15% = 1,5€) and cash out, then deposit the same amount at the other exchange (0,1% = 1€) and rebuy ETH, I only pay 2,50€ total.

So am I missing something, or is withdrawing and redepositing a lot more attractive??

Thanks