You could just as plausibly say that Swift is a high-ish-level functional-ish language with a modern syntax. Whereas C blows up at runtime, Swift nags-and-whines at compile time - in that way it's very unlike C. All that said "in the C family" is highly ambiguous at best...

When I hear that C family languages are no longer to be utilized, I’m assuming they mean memory unsafe options. C & C++.

Everything else is just as good of an idea as the next. C family is the most successful language paradigm in the history of software. Abandoning those constructs would be suicide. Nothing would get done.