This is very important to point out and I think is actually the big trap when approaching meditative practices. I fell into this nihilism trap when I was starting meditation in college and I abandoned my practice almost completely for the next 10 or so years.
It’s very easy to confuse the emptiness of self with the nonexistence of self. The latter is an extreme view that leads to nihilism. At least in the Buddhist traditions I’m aware of, nihilism is a wrong view and the teachings are explicitly not nihilistic.
Yet it’s exceptionally easy to get confused and fall into it if you’re just meditating without any real notion of what the teachings are. All the corporate “meditate for productivity” that has invaded the dialogue in the west I find at least misguided, and at the worst actually harmful.
For anyone that is interested I’d suggest reading Thich Nhat Hanh’s translation and commentary on the heart sutra called “The Other Shore”. It clears up a lot of the teaching on emptiness and will help you not fall into the nihilism trap.
(It’s also useful to note that the modern vipassana movement that is so popular in the west comes from a tradition that doesn’t emphasize the teachings on emptiness, even though they are in fact there in the Pali cannon.)