Yes, and another bit I just noticed from your link:
''There is nothing in the new bill that would permit police to charge a prostitute for selling his or her services from home if children live there. The prostitution bill contains a series of exceptions to the "material benefit" offence, including legitimate living arrangements, which cover people who live with sex workers such as spouses, roommates or children.''
It seems they are confusing two different provisions: communicating in a place where you have children & the ''material benefit''. This material benefit provision says the children are allowed to benefit from the money their parent earns. It does not say the woman has a right to work in the same place where her children live.
During debates in the house of commons one politician said newspaper would not be criminalized for advertisements, because third parties are allowed to provide their services for a normal, non-exploitive fee. Once again they are confusing two different provisions: material benefit is one thing. Advertisement for someone else would be illegal regardless. Even if you provide free advertisement it would be illegal.
I can't say if these confusions are just from their own ignorance or if they are willingly twisting things so that people won't look at it too closely.