dnd 3.5e – Can a Dweomerkeeper’s Supernatural Spell Buff be dispelled?

The Dweomerkeeper has the supernatural ability Supernatural Spell that turns a spell into a supernatural effect. In the description, the relevant part is

The spell functions as it normally would and is expended normally, but
the dweomerkeeper does not require any components, does not provoke
attacks of opportunity, and ignores the target’s spell resistance,
just as if she were using a supernatural ability instead of a spell.

Does this mean, that a Haste spell for example, cast as a Supernatural Spell would not be subject to dispel magic?
Or does “The spell functions as it normally would” part mean, that the effect of the (supernatural) spell is a normal ongoing spell effect that can be dispelled?