What word can I use for a person/researcher/field who likes to put words in people's mouth?
Solution 1:
A might be a:
misinformer
misguider
misleader
misdirector
misstater
All of which say that A has not stated the facts are they are. These are not words often used, as, today, liar is too commonly used. None of these words state that A is being intentionally dishonest, but, rather, mistaken.
If the idea of dishonesty need be applied:
disingenuous Dictionary.com
might describe A. Disingenuous is not as strong as liar, but is strong enough to offend some people.
A is being disingenuous about W
is essentially what you describe.
Solution 2:
The Devil can cite Scripture
The best of sources can be distorted to insert a personal interpretation. Origin: Spoken by Antonio in Shakespeare's The Merchant of Venice:
Mark you this, Bassanio, The devil can cite Scripture for his purpose.