I've seen that thread (and your rather strange advice in it). Isn't it funny how some women can see no wrong in anyone of their own gender?
The notion that he's not providing any of her needs is nothing more than an assumption as he's never stated whether they're affectionate in other ways, whether they generally get on, if he pulls his weight at home or their marriage is happy in other ways. The OP has clearly stated his other half isn't prepared to discuss the issue with him so how would he even know if his other half felt this way?
Most people (yourself included from what you've posted in other threads) would consider a relationship without sex to be one that's not worth living in. scholar007 has stated he feels stuck with this relationship due to financial reasons and their having kids together. (you're wrong here btw scholar007, if the marriage has deteriorated to the point where it's not worth saving, your kids would be better off with you and your wife living your own, happier lives, frustrated and miserable parents don't make for good role-models).
If your wife won't discuss the issues with you, would she consider marriage counselling. The vary fact you're suggesting it should be enough to let her know how serious a state your marriage is in as usually counselling ends in one of two ways: a couple re-building a happy marriage (which sex is very much a part of) or going their separate ways...
Be prepared to hear things you don't like at the sessions and it may be the case, as curlzy assumes, that there are other areas of your marriage where you're the one not pulling your weight, it may be the case that your wife is in fact asexual and has never enjoyed your sex life together, seeing it only as a means of attracting a man and having babies and it may be the case that you're better off apart from each other. Sure, finances will be squeezed dreadfully by a separation, they usually are but children are better off with two poor but happy parents that live apart than parents that make each other miserable and who clearly resent each other.