They really don't. You're misusing the word "lobby".

Churches and charities don't lobby politically for poor people, they take them on as a righteous burden to bear. Some churches and charities are even used as tax breaks for rich people.

Unions used to, to some degree. They've mostly been neutered and have very limited political capital.

That’s a “no true Scotsman” argument if ever I’ve heard one. You can’t say nobody helps the poor, then disparage the significant amount of help people do give.

I belong to a church, and the minister frequently represents vulnerable people in the local community to politicians. He’s also sponsored by the church to attend events campaigning on behalf of low-paid people in the UK. And we contribute to a fund which publishes articles and runs events to raise awareness about homelessness.

If that doesn’t count as lobbying for people then I don’t know what does. I do wish it were more effective.

It's not a "no true Scotsman" argument because "help" is a vague term to begin with.

Lots of churches say nice things while extracting maximum revenue from their congregation. Can you point to any actual political changes that have occurred as a result, or is it just some nice words?

I get the feeling I could write a long list with everything religious groups have done to help the poor - from the abolition of slavery, to Sikh Gurudwaras providing food, to groups like “Christians Against Poverty” campaigning against excessive interest on payday loans - but somehow none of that would count.