Our (private) provider uses small 25l caddy bins. We keep smaller 10l caddy bins in doors and use the biodegradable green sacks. When the 10l caddy fills we transfer the compost bags to the large bins for fortnightly collection. One of our neighbours has 4 25l caddy bins! She has a smaller black refuse bin and is charged based on the average weights of the black bin.
My provider is a regulated private contractor and as such provides a service to make a profit but since hes regulated he must also comply with "government policy".
Im finding it difficult to understand the OP's concern. Is this a Dublin thing? In the country (outside Dublin) we have had bin charges and private contractors providing green, brown, black and red bins for over a decade.