Some differences to the market at that time seems to be that during the dotcom bubble, many of the companies had little to no revenue.
Leading AI labs already generate enormous revenue. The investments into capacity are needed to address the current demand.
The situation seems somewhat less speculative.
That said, I cannot predict how AI capabilities will develop and how demand will respond.
Should capabilities plateau hard and soon, maybe the demand will not be there for the compute investments.
If it does not, and instead AI applications in robotics, science, and self driving expand, chances seem reasonably good that the demand will be there, no?
And as for the economic stability, much of the investment comes from existing giants like Microsoft, Alphabet, Amazon, and Meta, who have the necessary cash flow.
These companies are less likely to collapse than some of the ones during the dotcom bubble.