It's not a different debate, it's an essential requirement for zero probability events to actually happen. For zero probability events to happen the observable

It's not a different debate, it's an essential requirement for zero probability events to actually happen. For zero probability events to happen the observable universe needs to contain infinite bits of information. The true upper bound is subject to debate but it's widely believed to be finite (eg. below the Bekenstein bound). If it is finite, then by the pigeonhole principle, no method of sampling a continuous distribution can choose between more points from that distribution than can be enumerated by that many bits. This means the probability of making any specific selection is non-zero, because almost all of the distribution cannot be selected.