Can an anti-SLAPP motion be directed at the type of allegations that were added to a cross-complaint?

Thus, even assuming the new allegations referred to protected activity (which is far from clear from the face of the cross-complaint), an anti-SLAPP motion cannot be directed at the type of allegations that were added here. (Baral v. Schnitt, supra, 1 Cal.5th at p. 394.) Nor can it be based on an entirely conclusory allegation requesting punitive damages. The legal basis for relief has not changed from the first amended cross-complaint to the second.