Cryptocurrencies developed on 10+ year old tech, that have stayed in that state throughout may indeed have very poor tps as you state. However, this is absolutely not the majority, as that base tech has iterated both at the base level, and in the application of layers. Typical these days are tps-handling in the 1k's - 10k's, and beyond. This will only keep improving as the technology progresses.
Many systems capable of such throughout are heavily under-utilised, showing that crypto technology is generally ahead of those needs. That there have been hiccups have been more due to "brand loyalty", not tech deficiency, but even those technologies (Ethereum, mainly), are in the process of being upgraded.
Given tps in the fiat world is somewhat of an inapplicable metric, as fiat transactions typically take in the order of days to complete - it's even more of a misleading comparison. Credit cards achieve 30k tps throughput only with the considerable caveats of reversibility and 30 day (or longer) finality. Crypto suffers from no such limitations.
The majority of worth in the space is absolutely not of "criminal origin", demographics of crypto holders have been studied extensively and are readily available.