I'd sure want to be very careful with health-risk assessments. But nickel-63 is pretty low-energy. According to this fact sheet absorbed radiation from exposure to skin is negligible without shielding. And that level of radiation is easy to shield so the battery casing presumably blocks all of it. (Tbf I believe fact sheets like that assume that your dead layer of surface skin cells has a small shielding effect, so the calculation is different if it gets in your body.)

The article also mentioned a possible variation with strontium-90 which is stronger stuff. It's emissions are 8 times more energetic than Ni-63, and instead of decaying to stable copper, strontium-90 decays to yttrium-90 which emits radiation several times again more energetic than strontium-90. Here's another fact sheet. (Sorry about using two different sources for fact sheets. I had a hard time finding one source with facts on both isotopes.)

The term "radioactive waste" suggests products from uranium fission, and the isotopes they decay to which can have extremely high-energy emissions, and decay through chains of several radioactive isotopes before finally decaying to stable elements which means extremely long half-lives overall. IMO the comparison is misleading. It's kinda like comparing one "moderate" air quality day to many days inside a smoke stack.