Meh it's a little bit worse, because smaller reactors burn a smaller fraction of their fuel and therefore make more volume of high level waste per kWh generated.

But it's not THAT much worse. Nuclear waste is already ridiculously small in volume per kWh vs. any other fuel-burning energy technology. Right now all of the waste we've accumulated from making 20% of the country's electricity for decades fits on a football field 3 meters high (that's pellets only, if you include individual dry casks it's 135 meters). So if we make lots of small reactors that are a bit less fuel efficient we might need 2 big football fields deep underground rather than 1. Compared to all the particulate and CO₂ emissions other sources make I'm just not that worried about it. Recall that fossil kills ~6 million per year from particulate emissions alone. Commercial nuclear waste has never hurt anyone, and is unlikely to do so in the future.

Not to mention if we really wanted to and/or had enough of a supply of it, that higher grade waste can in large part be recycled and used again.