No. Twitter is suing under the “who cares”, “shut up” and “no u” doctrine, which you can do in courts that do not have anti-SLAPP rules in place.
>The company filed its lawsuit in Texas, which is neither its nor Media Matters’ primary place of business. As legal blogger Ken White noted, a Texas filing protects X from claims that it filed a strategic lawsuit against public participation (or SLAPP), something it might face in its home base of California.
https://www.theverge.com/2023/11/20/23970274/x-elon-musk-med...