I read somewhere that newspapers using soy based inks now were OK for bunnies (like the phone books) and that many people actually opt for shredded newspapers for litter or bedding.
Found it.
Go to the House Rabbit Society webpage for excellent info. on all bunny needs. http://www.rabbit.org
On the FAQ page they state: “newspapers are absorbent, but don’t control odor” and
“Another approach is to place a handful of hay in each box, or to simply use hay as litter. It is helpful to put several layers of newspaper under the hay, to absorb urine so that your rabbit is not standing in the urine. Most newspapers today are using soy-based ink, which is safe for your rabbit, but check with your local newspaper to make sure first. Obviously, you need to change the hay fairly frequently (daily), since your rabbit will be eating it. This method often helps to encourage good litter habits as well as to encourage hay consumption, since rabbits often eat at or near the same time as they use the litter box.“
Sounds to me like your bunny approves, you have an unlimited supply and he’s already almost trained. A happy bunny!