Ahhh, I see what you mean.
Yes it does, if I remember correctly, one of each.
Personally, I think the most important thing if you're out (I don't usually vape like that too much any more) is to have your meds finely ground and a set of silicone fingers to manipulate the basket while hot. The load comes out easily with a gentle tap and a quick brush off or simply blowing on it a bit will do the trick.
If you don't have the silicone fingers, I recommend doing a few cold inhales so the basket is not scorching hot, especially using the Decarboxylation Kit.
EDIT: since you're getting the glass core, instead of the Teflon & Dec. it
still may be an issue especially after a long session.
If you end up getting a few extras it may also help reduce general wear & tear in all accessories, can't say its a bad choice. I have a slightly different use but I still ended up with a few more spares down the road, never hurts.
Welcome to the family and hope you enjoy it, its a solid choice!