Lasnik & Fiengo (1974) "Complement Object Deletion" (section 2) argue against Tough Movement, and Chomsky (1977) "On WH-Movement" p. 102 adopts the base-generated analysis and accepts the correctness of that approach without comment. L&F begin by presenting arguments against arguments against tough-deletion. For instance, an earlier argument for TM was based on the grammaticality of "Headway is easy to make on problems like these", where the noun headway – which it was assumed only exists as the object of "make headway" is raised. L&F raise an objection to the datum, and then counter with the ungrammaticality of parallel idiom-objects raisings like "*Tabs were easy to keep on Mary", "*Heed is important to pay to such warnings", which under the raising analysis should be grammatical. There is also an amusing argument based on tough movement and nominalization, centering around the assumed ungrammaticality of "John's easiness to please", which in fact is ungrammatical for some people and grammatical for others, and as a person who finds this grammatical I find the assertion that this is ungrammatical to be as incomprehensible as others find the assertion that this is grammatical.
Their section 2.3 presents a series of empirical arguments against TM; for instance, "John is being easy to please" would have to come from "*To please John is being easy". (Their arguments are this "progressive" argument, the "try" argument, the indefinite NP argument, the intentionality argument, and the modal argument"). Overall the argument does not appear to be theory-driven, i.e. they aren't arguing that we have to get rid of TM because it violates some valuable grammatical principle, it just that raising doesn't work.
On re-reading and recollecting, I think there actually is an underlying theoretical principle, the Specified Subject Condition, which TM violates. While L&F do not structure the argument to make SSC be the driving force, they do take advantage of the opportunity to point to mention that SSC would be runned afoul of in certain TM cases. I think the operator and control analysis is from Chomsky (1977).