Don Galleto:
I assume you are directing our attention to the following phrases you quoted in your earlier post:
"You may be ineligible for adjustment to permanent resident status if:
You were admitted into the United States as a visitor under the Visa Waiver Program. (This rule does not apply to you if you are the immediate relative of a U.S. citizen (parent, spouse, or unmarried child under 21).)"
You are correct in stating that the website you quoted, and in particular the quote above, does not address the B2 visa in particular. However, note two things:
1. Just because the website did not mention it, does not mean it is not part
of US statutory law or agency regulations. Websites such as the one you
quoted merely attempt to summarize the relevant primary sources.
2. For the purposes of this discussion, rules applying to B2 and VWP are very
similar, as it deals with the same question of immigrant or nonimmigrant
intent upon entry.
A person may not enter the US on a nonimmigrant status (whether it be VWP, B2, F1 etc.), with the intent to immigrate on that trip. The law looks to objective manifestations of intent, i.e. filing for AOS a couple weeks after arriving on a nonimmigrant visa will likely indicate immigrant intent during the last entry. Each case is different and turns on its own facts, but you should prepare yourself for a possibility of denial and hassles if you pursue your course of action, which is illegal (since you clearly admitted to us that you had immigrant intent during your last entry).
Note the language in the quote above, "this rule does not apply if you are the immediate relative of a U.S. Citizen..." Be careful in construing this rule out of context. What it says, is that a person travelling on the VWP is not barred from filing AOS (like he or she normally would be) if he/she is an immediate relative. However, this statement presumes that the person entered on nonimmigrant intent, and then legitimately changed intent
later.
What is a legitimate change of intent? This question really turns on the facts, but filing AOS very soon after entry definitely does NOT indicate a legitimate change of intent.