A few years ago I decided to actually research whether mutual funds and such were barred from owning pennies which is something junk stock pumpers will say to explain why their ".0001 Canadian diamond mining issue" has ZERO institutional ownership (which should be a huge red flag).
I still own a few mutual funds from decades ago and I happened to receive the annual report from one that day. So I put on my glasses, grabbed a magnifier and pored thru the entire thing. On the section about permissible and impermissible investments, there was nothing excluding low priced stocks or "penny stocks."
Later I used SEC.gov to read thru similar reports from other major mutual funds. As I recall, some DID exclude penny stocks while others emphasized that they could buy just about ANYTHING.
Of course, almost none of them buy junk like LWLG. The reason is simple: Being the manager of a huge mutual fund or ETF is about the cushiest job on earth. No one wants to gets fired from that job because they bought a zero revenue, zero profit, zero product penny stock that has more red flags than an old May Day Parade in Moscow.