This is an interesting statement, and though true I think it's a bit disingenuous.
I'm no expert on nuclear or nuclear power, but I recently listened to a Canadaland podcast about nuclear waste [0] and did a little extra reading [1][2] on deep geological nuclear disposal. If what I heard/read is to believed, it sounds like although the international science community has agreed on the best and safest way to bury nuclear waste, this hasn't _actually_ ever been done.
It's one thing to say to a community "in theory, we all agree that if everything is done correctly this is the best solution" and another COMPLETELY to trust that 1) The task will be done right, 2) The governing body (NGO, government, etc) will be around for the full lifetime of the nuclear waste being a threat (~150+ years), and 3) Said governing body will be well-funded enough the entire time to do the job right.
I believe that the engineering solutions are sound, but I don't think it's fair to dismiss the concern "often good science isn't executed very well". Until this is addressed, I'm not sure "but the science says!" is going to be a very effective response. For something as high-stakes as this, we need a more comforting guarantee.
[0] https://www.canadaland.com/nuclear-waste-ignace-ontario/ [1] https://cen.acs.org/environment/pollution/nuclear-waste-pile... [2] https://world-nuclear.org/information-library/nuclear-fuel-c...
EDIT: typo