What is lucky about making it to the SPCA "shelter" if you are a rabbit? You'll get a tiny cage - too small for a good run, or even a stretch.
That's it - probably until you die.
Or, if you get "lucky" again, you'll be bought by someone who will probably keep you in a similar cage, maybe slightly bigger, maybe not.
Most likely, during your active hours, the morning and evening, the family will be rushing off to work or school, and in the evening, well there are just so many more interesting things to do than spend time exercising and cuddling the rabbit.
I know there are always exceptions, but the pet rabbits I have been shown have been confined almost their entire lives in tiny cages, sometimes with only wire to walk on, as it is easier to clean.
What a horrible life.
I wish people would not breed rabbits, and confine rabbits.
I wish people would not dump rabbits either, but I think if I was a rabbit, I would prefer the perhaps brief life of a feral, or free - roaming rabbit to a lifetime of captivity.