That's about right. Phaser is a framework, and Construct is a full-fledged IDE. Its main feature is a drag-and-drop system for game logic rather than programming, so it's more designed for making game development accessible to a non-technical audience (so not sure how many HN folk will be in the market for that, although it's still great for rapid prototyping or fast development).

Construct 3 is browser-based so you can give it a spin here: https://editor.construct.net/