He is quick to call Bitcoin a bubble, but I think those stocks are definitely a much bigger bubble than Bitcoin ever was.

Could be, but the fact that there is too much fiat in circulation might be playing an important role in how the stock market bubble may last much longer than we think, which is why I wouldn't be surprised to see it go up more.
When the bubble finally pops, you can be sure that the bear market will last several years with how slow the legacy market cycles through its phases. The next question will be where all that capital will shift to.
It could be that crypto will directly benefit from a stock market pop. If even 10% of that capital ends up in the crypto market, we'll see an institutional driven bull run that makes the previous retail bull runs look like a joke.
At this point in time, I would actually say the best thing is to just wait and see how some support will be holding and how the selloff would be. The market actually looks very bearish, but we always know in a market, nothing is certain until we start seeing things happen really. Actually I am out as I feel the market has actually reached its overbought limit and I am more to the bearish zone right now than any serious bullishness. This is a market that I feel it is about to correct and it is something we will most definitely get to know pretty soon.
I was reading some news recently about the US market being overpriced and the possibilities of the whales distributing and cashing out as the case may be. Actually looking at all modalities and technicalities, I would say the stock market is actually gearing up for a bear rally. We may be wrong, but time will tell and judging from what we are seeing recently, I would not even advise anyone to be in stock at the moment or trying to get in at this stage.