All the shrinks, therapists, counselors, etc. in the world are not going to get someone clean and sober if they are not willing to do the work. I don't know what is going through Miss Lohan's mind, and frankly I do not care, but it certainly does not strike me that she has the willingness, so as I said money or no money, it does not really make much difference.
Most of the people I know who are successfully recovering from addiction are not people of financial means. And I know more well off people than I care to count who have been slowly succumbing to addiction for years. In this business, money or lack thereof is NOT the deciding factor.
And as outtolunch said what happens to her really ought to be of no concern to anyone other than her family and anyone else intimately involved with her...