Yale seems to be claiming that this website uses Yale's data in violation of their terms of service or their copyrights, that is to say, that such use was not within the law. I don't see how this law would prevent a UK university from acting in exactly the same way.

(This section of the 1986 act, BTW, was introduced in response to anti-apartheid protesters disrupting speeches by members of the South African government, in order to require universities to stop such protests. It's not at all a pro-free-speech law.)