The bunny will almost surely NOT be accepted back from its mother now, and is very unlikely to be welcomed by any domesticated rabbit. Most likely the wild rabbit is a cottontail rabbit, where as domesticated and house rabbits are european rabbits. There are some substantial differences.
As european and cottontail rabbits are not the same, one (or both) may harbor a pathogen that the other lacks any inherent resistance to. While arguably not all that common, if this does occur, the outcome can be devastating. Depending on your location (i.e., depending on what disease risks are in your area), returning a wild rabbit to the wild that has had prolonged contact with a domesticated rabbit can have huge risks, and may even be illegal. Probably the biggest long-term concern for the domesticated rabbit(s) is that wild rabbits can transmit parasites, and initially there may not be any indications that the domesticated rabbit is infected, and some will rapidly cause permanent damage. Dogs are also very much at risk.
As a means to reduce the chance of attracting predators, it is not uncommon for a mother rabbit to leave her young for 12+ hours, and even though bunnies are born without fur, they become independent at a very young age (hares are even more extreme in that they can pretty much care for themselves as soon as they pop out.) The only time I personally take action with wild rabbits is if I come across one that is suffering and bound for death, in which case I help it die a more dignified death than one of prolonged suffering. In most cases, that comes in the form of two well-placed .22LR shots to the head and spine, in which the first immediately severs the brainstem. Afterwards, before I play with my rabbit or dog, I'll use a scrub that has an antimicrobial just to play it safe. That's probably overkill, but IMO it's better safe than sorry. YMMV.