If a product is renamed will customers still be notified?

Yes, customers will still receive notifications as long as you edit the existing product variant instead of creating a new one.
The Watchlyst tracks product variants using their internal variant ID, which remains unchanged when you update details like:

• Product title
• Price
• Description
• SKU

Since the variant ID stays the same, The Watchlyst will continue to monitor and notify customers about price changes accurately.