They're not claiming that it's like the dot com boom because no one is actually making money. They're claiming that this is more like the dot com boom than the housing bubble, which I think is true. The dot com crash didn't cause Jane-on-the-street to lose her house while she worked a factory job, though the housing crisis did have those kinds of consumer-affecting outcomes.
It's nothing like the dot com bubble because that was based on speculative future value and zero present value. There is more present value in AI than at any point in software in the last 30 years.
The Internet bubble was also based on something real, but that didn't stop it from being a bubble.
For example, Cisco parked at over $500B in market cap during the boom. Its current market cap is around half that, at $250B.