“Chance is only increased if the precise location is known...”
But all rabbits are going to know where other rabbits are, and where the original home warren is right? Also, if rabbits are low enough power to be destroyed in the first place it seems like they probably didn’t go too far from the other rabbits, you look to see what is in the relatively nearby area in likely places.
Of course we don’t know what technology will do as far as the ease of searching, hunting, or hiding, I guess I mostly imagine robotic probe scouts. Yeah, you would need good tech to make certain nothing was ever traced back to you somehow in case a weaker hunter finds a stronger hunter.
“Stay home and be quiet is always the best option...”
It could be the urge to explore is just exceedingly rare. Hard for us to imagine, but then we only have one example to go by, us. Also it could be that once you reach a certain technical level of civilization everyone inevitably falls into a virtual reality hole, and is content living in fake paradise or something. Neat stuff to think about for sure.
Freegards
“But all rabbits are going to know where other rabbits are ...”
That of course is an assumption which destroys your argument, sadly.
Time, distance, the shock of never returning home, normal forgetfulness, calamity - all those and more mitigate against the rabbits knowing where all the other rabbits are.
On that note, there is some biological evidence that we may be someone’s scattered rabbit ... (why do we need such big eyes? Among other unanswered biological questions.)