Ernst & Young wouldn't put their reputation at stake for an insignificant amount compared to their revenues. They're like well over 5 times bigger than the NHL, if not more.
Secondly, there was a 24.5% chance that pick went to a mystery team. This hasn't happened yet since the new lottery format. It doesn't change the odds (i.e. past lottery results don't affect lottery odds), obviously, but that was bound to happen (i.e. a team between 8 and 15 winning the lottery) eventually. Also, odds of one of the mystery team not getting any top-3 pick was below 40%.
Teams also each send a representative to assist to the drawing, however I don't know if that was done due to the current pandemic, but I assume there were things put in place to ensure they could assist to the drawing in real time, and had access to the winning combinations beforehand.
So, can you disagree with the odds and the fact a team placed 15th can jump to 1st overall? Yes. But saying it was rigged is ludicrous.