It is sad but many people would put their entire savings and next months rent into a risky investment that is not publicly traded on a regulated market and basically lose their money most of the time because they invest on hype and because their buddy told them.

If an accredited investor loses his money, the nobody feels bad because they had the money in the first place and the means to either hire somebody who knows what they're doing or be responsible themselves.

I'd be fine with zero regulation on it all together, as long as I, as a tax payer, don't have to bail out all the idiots will fall for ponzi scheme after ponzi scheme. But do we let them dye on the streets because they lost everything? Hence why the regulation is in place.

You are also assuming that being an accredited investor gives you access to better investments, which is not entirely true. Many accredited investors lose their lunch on investments. Look at the number of hedge funds that beat a market index fund, it's like 10%. Or look at VC firms where 1 investment makes up for the loss of 10 others. Many never do get that return and just lose money until they're out. The best investment definition varies widely, and in actuality, most accredited investors would be better off just investing in an index fund because believe it or not, they don't know what they are doing most of the time either. Which is why many investments are high risk. So a test would not help either.