Sibal said this in a public meeting 

I ask this question, if a poor child does not have any means for education, then how will Lokpal Bill help? If a poor man needs help for medical services then he will call up a politician. How will Lokpal Bill help.

When Mr. Hazare responded by saying that Mr, Sibal should not be in the committee if he thinks Lokpal bill is useless, then Sibal clarified his position by saying:

the scope of the Bill is different. The problems of the common man are different. …

I said that if you want to educate children, then this has no connection to Lokpal. If there is no convenience of water…Lokpal is only connected to corruption and we will bring a good bill that will stop corruption.

To get to what I am saying you do not even have to read between the lines. The very fact that there are problems in the Indian system, the likes of which Sibal mentions, viz. poor child not having means for education, poor man needing medical services and others at least in part are linked to India being a very corrupt  state. Since we are a corrupt state, that is the reason people cannot get access to basic needs of a good life, like education for their children and medical services, without clout of some politician, as Mr. Sibal puts it. And this is accepted, by saying that going through a politican will perhaps help a poor person, than cleaning the system itself.

How can a bad governing system which is corrupt as deep as it can be, and public inconvenience it causes and a strong anti-corruption bill be not related? The Lokpal Bill is in every related to problems of common man,  and that is the reason why it gathered such a wide support.