Basically, longer string can vibrate more strongly, thus it transfers more energy to the bridge and body of a double bass. This results in louder tone, as well as in richer frequency spectrum, especially more pronounced mids and highs. (High harmonics can develop more with string's stronger ability to vibrate. High harmonics are harder to develop but easier to perceive.)
With double bass, the sound you hear comes mainly from the body, so the 'final' sound spectrum is a compromise of string vibration and body's ability to ampilfy the vibrations. With EUB, you pickup the sound coming from the bridge, slab body having a very little effect on the sound. I would think that with EUB, the scale lenght is much less important than with double bass, at least from acoustic perspective. There are many types of strings available, and theoretically, there might exist the right combination of string type and body damping that might emulate the double bass fine enough. I don't think that anyone found it so far, but that's just me.
However, with proper scale, your playing technique may become very similar to double bass playing. I believe this is the right key. In my opinion, the double bass sound comes mainly from the way you are playing it. The more I play the double bass, the more I explore the ocean of sound possibilities. It's endless. Many shiny things I loved at first (like the growl) get less important in time, while subtler 'details' like overall voice leading become the important stuff. I can see how deeply the double bass changed my musical thinking over time.
With proper double bass scale, you can adapt to a real double bass very easily. If you delve into upright world for real, there's a high chance you will.