If you do even the slightest bit of (primary source) research into this, you will find that this is not true.
You're mistaking what he is for something else. He's not a white-collar bad boy, he's a troll.
There's a sibling post I wrote with my personal experience dealing with the ridiculousness of drug pricing, these tricks and games do hit people.
They weren't; insurance company profits are limited to a percentage of reimbursed costs, so the insurers were incedental beneficiaries of the scheme.
The targets were insurance premium payers.
What you said is not an achievable statement.
If the American health care system is so broken that insurance companies are making people destitute for receiving care then the USA has bigger problems than a single CEO.
https://www.forbes.com/sites/carolynmcclanahan/2018/08/13/us...
This story is personal and doesn't involve any drugs Shkreli was directly involved with but I'm putting it out there to demonstrate the sort of BS pricing all throughout the pharma market, there are I'm sure some people with bad or no coverage but living just above the Medicaid line that had to pay full out-of-pocket price for Daraprim after the price hike from 13.50/pill to 750/pill, this problem really does hit people.
I agree that there are multiple solutions and issues here, the fact that the government allows market control via eternally extended patents (oh my, read about the history of insulin and how the Canadian inventors released it for free for ethical reasons and now a few companies have a stranglehold on the market) definitely contributes a lot to this situation, but even when looking at medical procedure billing you can easily find crazy market disparities in costs between hospitals down the street from one another - and medical procedures are (mostly) out of the government's hands, that's just unethical companies pumping up the prices on inelastic goods because they can.
Your question doesn't really apply to this last bit but I thought I'd add... Shkreli himself is not just a scapegoat, he was a bad actor and deserves what he's getting, unfortunately it is quite fair to point out that people who have acted equally unethically have felt no problems for their actions because, unfortunately, currently those unethical actions are not illegal in our society - as the Shkreli case and the vitriol around it demonstrates, we, the society, feel like this is an unethical state. There are arguments to be had about the tyranny of the majority and the unfair partial application of the law but... that's all just wool gathering to avoid the truth.
There's an interesting thing in societal norms, they shift over time. So if you were aware of his actions fully (and I didn't cover all the details here) and do feel like it's a bold claim I'd be curious to know (if you'd share it) which generational group you're in and where abouts in the country you are. There has lately, in American culture, been this glorification of white collar bad-boys and I find it deeply disturbing myself due to the immense volume of harm they end up bringing to undeserving people without the means to deflect it.