The history is longer and more tangled than that.
1951 - Nationalised by Attlee (Labour)
1953 - Re-privatised by Churchill (Conservative)
1967 - Nationalised again by Wilson (Labour)
1988 - Privatised again by Thatcher (Conservative)
1999 - Allowed to merge with Dutch Hoogovens into Corus by Blair (Labour)
2007 - Allowed to be sold to Tata Steel by Blair (Labour)
2016 - Tata allowed to sell to Greybull Capital by Cameron (Conservative)
2020 - Takeover by Chinese Jingye under Johnson (Conservative)
I worked there for three years in the mid 90s.
Personally, I think it should have been left alone after 1951.
But it is arguable whether ideologically driven militant unions would have destroyed it in the 1970s and 1980s.