Correct! In more words:
With longer strings, there is higher tension and more pronounced overtones. It might seem counterintuitive at first, but this means short scale basses sound more boomy and have less mid-high range articulation than long scale basses. If you've ever heard a U-bass compared to a double bass, you know what I mean.
Of course you can compensate with technique, strings, and signal chain, but you cannot get around the physics of a shorter vibrating length of wire having lower tension and less pronounced overtones.
This might be perfect for you and the kind of music you make. But if you find yourself wanting a tighter sound, you might try a long scale.