Trump declares new Space Command key to American defense

[TomVilmer]

13. It did not.

- but the treaty did not forbid research and testing at the ground. The moment SDI were put into space, only a Ronald Ragan could support this as legal.
https://scholarship.law.nd.edu/cgi/viewcontent.cgi?article=1319&context=jleg

Ronald Reagan was so much in love with the SDI project, that he blocked a Soviet proposal on eliminating all nuclear arms, when Reagan and Gorbachev met in Reykjavik in 1986:

The final session that stretched into the night was a scene of high drama. Gorbachev offered to eliminate all strategic forces, not just ballistic missiles. Reagan then countered that it would be fine with him if they could agree to eliminate all nuclear weapons. They almost had an agreement. The sticking point fell to the area that most concerned the Soviets – confining Reagan’s SDI to the laboratory. This the President could not agree to.
https://harvardnsj.org/2011/10/2689/