But what of other sources of turning/rebuking? Their qualifications have been debated forever, specifically because they say "turn/rebuke [X creatures] as a cleric turns/rebukes undead", which implies that clerics with those abilities use positive energy to turn/rebuke those creatures rather than undead, but still using the same energy in almost the same way. It's cheesy, and if allowed by the DM, can allow for much brokenness, especially when combined with something granting extra domains. The issue with these types is that implication does not mean truth. Thus, the debate rages on, as it will with our kind.
I, for one, agree that the qualifying statement justifies the reasoning more-so than other, more ambiguous alternate sources by virtue of its existence.