I think you're right that the Phoenicians deserve more credit, as does Carthage. There is yet hope more of their history may come to light. We're unlikely to uncover records on the organic media the Phoenician alphabet was tailored for, but Mesopotamian cultures were contemporaries of the Phoenicians and we're discovering/translating new cuneiform tablets all the time. Entire Mesopotamian cities remain to be discovered, and some significant ones that we know of are likely buried beneath modern settlements.

We may never get the Phonecian's story from their own perspective, but we may yet get a better picture of them from people who didn't have a vested interest in erasing their history.