What exactly do you mean by waste? Generating some addresses only took few miliseconds and you only use extra few KB to store it on RAM/storage.
Maybe he's referring to dust fees? But then again, just as multiple inputs from the same address can be spent in one transaction - this already is done with some wallets like Android bitcoin wallet - so can multiple inputs from different addresses can be spent in one transaction all at once. This is something wallets are also able to do, and it's usually done automatically.
That would make sense if Bitcoin use account-based system rather than UTXO-based system.
To answer crwth's question ("I don't get why you are annoyed with it. Can you explain it further, OP?"):
My principle in life is to use something as much time as it's good, then recycle it to use it again etc. And I feel a bitcoin address will be good forever. And changing them at every new payment and then throwing them away forever makes me feel like a huge bitcoin-addresses-waster (although I know there can be 2^160 addreeses).
It won't be good/secure forever. There will be new address format (with new cryptography) to anticipate quantum computing.