It's not doublethink any time there's a misnomer. It doesn't require an active effort of cognitive dissonance. It's not a manipulation or a conspiracy. You don't have to get the severance operation to use an FaaS offering.

Serverless eliminates the management of servers; the name is meaningful and directionally aligned with what the thing does, even if it can cause confusion when you first encounter the topic.

That doesn't mean it isn't a bad name. But it is not comparable to the Ministry of Plenty deliberately causing famine. "Famine" and "plenty" are directionally opposed and so require dissonance to maintain. "Serverless" and "abstracting resources provided by servers so that you can focus on application logic rather than managing physical or virtual machines" are not opposed and only require learning the terminology. There's no active, ongoing effort to deliberately maintain cognitive dissonance.

Unless you find yourself in a situation where you have that queasy feeling of being gaslit or having to actively push thoughts out of your head to continue operating under premises you know are false, no, it is not doublethink.