For the most part, I think the article misrepresents what the bill actually addresses, and what it does not. I'm linking to the text again, for ease:
http://www.capitol.state.tx.us/tlodocs/85R/billtext/pdf/SB00025I.pdf#navpanes=0
It only addresses "wrongful birth" as a cause of action.
It
could have the effect of some doctors lying, based upon their own beliefs, but it does not allow it, justify it, or address lying in any way. This, I see as a potential negative effect -- but hardly the intent of the legislation, as seems to be asserted by the writer of the article. (I wonder if that person actually read the legislation before writing about it.)
It does not change any medical standards, practices, nor protect the doctor from medical malpractice claims.
A positive potential I see is it may protect doctors who, through good faith, simply fail to identify a birth defect, then after a child is born, find themselves having to defend against/being held legally liable if the parents later determine they would have aborted if they had known -- so some test that might have identified it should have been done.