When a neural network "learns" something, it ends up with knowledge encoded in the network parameters. If that's not memory, we're using terminology in a different way.
[0]Memory and the Computational Brain, C. R. Gallistel and Adam Philip King
You can read the main thesis here https://onlinelibrary.wiley.com/doi/pdf/10.1002/978144431049...
Human language is like that, full of ambiguity, of implicit baggage.
If you feel "memory" means a recording of an event, or a photo book, then faced with the discovery that brains actually don't work like that you may want to state "neurons don't store memories!".