If you look at the latest news stories about Memorial Sloan Kettering (ProPublica is a place to start) and conclude that the government should minimize involvement in medical research for the betterment humankind Because Competition... you will certainly find plenty of friends, I suppose
Also, think about Elon Musk with 22 billion (https://www.bloomberg.com/billionaires/profiles/elon-r-musk/). His entire wealth is what governments currently waste on crappy medical research every couple months.
Lets say NIH is producing 99.99% crap (about 1 in 10k papers is useful) at ~$30 billion per year. Elon musk could set up MIH (Musk Institutes of Health) that is 100x more efficient (producing 1/100th the papers, but that are "only" 99% crap) for ~$300 million/year. After 73 years, about one human lifetime, the fund would be bankrupt. That's why I say you need to accumulate at least a couple hundred million dollars to hope to have an effect.
https://blogs.bmj.com/bmj/2016/01/14/paul-glasziou-and-iain-...
How do you expect anyone to compete with the government and fund useful medical research if they aren't allowed to accumulate enough wealth to compete with the tidal wave of crap that governments are producing? You need to "hoard" at least a couple hundred million dollars to even hope to compete with that.