I can post the same link to what he said at the Tory Party conference. Unless the party has changed it overnight, it will say exactly the same as it did yesterday.
I can well believe that he tried to change his tune later, but his Tory Party Conference speech only managed to mention Parliament once.
Extract:
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In one case, a drug dealer convicted of beating his ex-partner,
A man who hadn’t paid maintenance for his daughter,
Then successfully claimed the right to family life to avoid deportation.
Conference, it is absolutely perverse that someone guilty of domestic abuse …
Could claim the right to family life to trump the public’s interest in deporting him from this country.
We’ve got to bring this nonsense to an end.
So, today I can tell you that, under this Prime Minister and before the next election,
We will overhaul the Human Rights Act
To end this kind of abuse… and restore some common sense to our justice system.
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I don't see any words there to say "We will bring this matter to Parliament and seek to amend the Law" or similar wording.
This speech and the examples given has already been dissected by David Allen Green to which I posted a link upthread. At best it looks as though Raab couldn't be bothered to do his homework properly, at worst was dissembling.
No surprise there for a man who was happy to boast that he'd only just found out how important the Dover to Calais crossing was, or as Foreign Sec preferred to stay on the beach while the debacle around the evacuation of Afghanistan was taking place.