Raising is defined in Oxford Dictionary of English Grammar as follows:
The displacement of a noun phrase from a position within an embedded clause to a position in a higher clause.
...
With subject-to-subject raising we have a grammatical subject that carries a semantic role that is associated with a verb in a lower clause. Thus in
Henriette seems [ _ to like Paul]
the subject of the matrix clause (Henriette) is said to have been raised out of the bracketed clause (from the position indicated by ‘_’), and its semantic role, that of experiencer, is linked with the verb like, not with the verb seem (the meaning is ‘It seems that Henriette likes Paul’).
(Boldface mine.)
I specifically question the validity of the portion in bold, which can be expanded to:
Semantically, the subject Henriette is not linked with the verb seem.
But is this really true?
The meaning of seem is defined in Oxford Dictionary:
1 Give the impression of being something or having a particular quality.
[with complement] ‘Dawn seemed annoyed’
According to the definition, you can easily say that Dawn gives the impression of having a quality of being annoyed. Likewise, you can as easily say that Henriette gives the impression of having a quality of liking Paul. Therefore, the subject Henriette is semantically linked with the verb seem in Henriette seems to like Paul.
Is the emboldened portion in Oxford Dictionary of English Grammar false? If so, is subject-to-subject raising somehow a wrong concept at least when it comes to the verb seem?
I know that Cognitive Grammar treats Raising constructions as "just a special case of control constructions" but not for the reason set forth in this question. If there's a grammar or a linguistics theory that does without Raising constructions for the above-mentioned reason, please let me know.
EDIT
In response to @Tim Osborne's answer, here are some follow-up questions too long for comments:
a. How does the embedded infinitive semantically selecting the subject necessarily mean the matrix seems exercising no semantic influence over the subject? What's wrong with saying that the semantic role of the matrix subject is linked with the matrix verb as well as the embedded infinitive?
b. Sentences (1) and (2), though semantically equivalent, are not syntactically equivalent. Why do we have to even look at sentence (1) in an effort to reject that seems semantically selects Henriette, when I've shown straightforwardly that seems does semantically select Henriette in (2), which is the only sentence we're analyzing?
c. As for (6) and (10), could, or even should, their semantic anomalousness be explained not in terms of seems having no semantic control over the matrix subject but in terms of the embedded infinitives being semantically incongruous with the matrix subject as clearly shown in (5) and (9)?
d. Is there any single case in English in which a simple sentence without a superordinate verb is semantically deviant at the same time that the same sentence with an added superordinate verb is semantically good? If not, how could I, and why should I, demonstrate that adding seem as a superordinate verb can fix a semantically deviant subordinate clause?