I believe we'd have to say yes! "myself" becomes the direct object, so "lay" is used. The reflexive use is not so common, however, as other uses:
I always lay my clothes on the bed, and then I lie down on the floor!
I laid the book on the table, and then I lay on the bed (laid myself on the bed).
The bed is all messed up. Have you been lying in it? / Have you lain in it?
The bed is all messed up. Have you been laying things on it? / Have you laid something on it?