Keeping high standards is important.
I believe this is the standard in question:
http://en.wikipedia.org/wiki/Wikipedia:Fringe_theories
Independent peer reviewed sources. This is a good standard if you ask me.
The research being done by drug companies is not promoting a controversial science or going against main stream consensus of the scientific community. But if articles on drug companies and GMO were doing that, then all articles using non-independent research from them as sources should also be pulled. Maybe requiring them to have independent research as well would be a good idea.
Reguardless, if they feel that they are getting a pass then they should ask that those sources be removed.
Not only that the article is treating skeptics as having a side. Skepticism is not for or against any issue. What skepticism is about is not accepting claims without a rigerous standard of proof. Almost all skeptics believe in evolution and oppose creationism for example.
If Mr. Feinstein's research does not meet this standard (not independent), then surely ONE of the other supposed 51 articles should...unless they are also below the standards. Honestly, it sounds more like they are focused on this one article simply because it mentions 51 others.
Further, the article you link makes it sound like the APA believes things like TFT has been validated when in reality they have stated that it lacks any scientific basis.
Again, that is what the whole petition is about. Lowering standards. Maybe, had it instead asked for them to be raised for established science and not resorted to mentioning the former partner of wikipedia they would have gotten a more favorable response.
Honestly, there is a small amount of bad science with regards to accepted medicine that gets through. Raising standards for that research on wikipedia might not be a bad idea. But lowering standards will only allow bad science to be accepted as fact.