Yes, it applies to the Illegals for whom Section 245(i) applies.
Try this... Here's a Google search on Section 245(i). You'll find sites all over the map on immigreation, but those with any relevant info all agree that Section 245(i) applies to Illegals.
Any idea what the word "may" refers to?
"May allow you to apply."
Do you know what the deciding factor is? And who decides?
I'm not baiting, I feel that word "may" be key to understanding the proposed process.
George W. Bush: No Amnesty for Illegal Aliens - "There's Going To Be No Amnesty"