Yes, CLN supports blinded paths in bolt12 offers and invoices. They are normally only used when the node has no public channels (and really needs these.) I noticed some interoperability problems with them recently, at least with LDK - still trying to get to the bottom of it, but blinded paths are generated when needed and it works between Core Lightning nodes for sure. Because of the strong privacy guarantees debugging blinded paths issues is much trickier than with standard invoices and payments.

Edit: you should be able to use lightning-cli decode on either the offer or the invoice to see which paths or route hints were included.