How is your approach different? The chances of the original approach are also low, and it similarly replaces a game of skill with a game of pure luck
But getting Jan 1 right would feel like an inevitable event, like you’re testing statistics and, yep, they work. Getting a custom date right would feel like you made a smart choice. Even if you know it’s just the same statistics.
At least I expect most people would feel that, or at least as many as enjoy gambling in games of chance.
There are legal (good) unusual starting words that it’s a good bet are not in the set of Wordle answers.