What I've always found interesting (not sure if there's a name for this) is kind of the idea that if you made such a trip, you might find by the time you arrive there in 3.2 seconds, the rest of humanity has figured out true FTL travel with the technology that was developed during those 32,000 years. As a result, you arrive in what might be the equivalent of a horse and buggy at the center of the galaxy versus what everyone else is riding around in.
There was an Episode in Andromeda that dealt with that same thing.
There was also an point in that episode since the FTL method they used was tethered to massive objects and hence only allowed for travel from on star system to another (or from one galaxy to another) the old fashioned non FTL method allowed them to explore many more things than with FTL travel the downside that 10,000's years would pass for everyone else every time they take a trip.
Lots of science fiction stories have this concept, but usually they talk about Slower-than-light, multi-generational space ships that takes centuries to reach the next star, only to find that during the last 100+ years, the destination planet has already been settled by humanity.
The wealthiest leave early thinking they might be getting the best and the first.
Poorer people leaving later get better and faster transit.
The only advantage of leaving early is the guarantee of getting a transit, instead of waiting for a better one to arrive later and find you got nothing at all.
