For instance, Virtu had 1238 straight trading days of profitability, with no losses.
There are no other firms in the history of Wall Street with such success. Such an outlier deserves a lot of scrutiny.
It might help if you expanded on your views of why Lewis is wrong.
Firms that make markets basically make money trading every day absent technology issues. That doesn't mean the company itself is profitable every day. It costs a lot of money to build the technology and strategies, and for every Virtu out there, there's a dozen failed HFT startups.
When most firms talk about profitability of trading day, they are talking about the the profitability of just their trades. That is, if they bought for 1 million dollars and sold for 1 million and 1 dollars. That is technically a profitable trading day. If the cost of entering and exiting that trade cost them 2 billion dollars they will still mark that as a "profitable" trading day, even though it clearly isn't.
That is to say, it is trivial under this accounting scheme to come up with a strategy that has no losses. Just don't trade.
I apologize for not going into more depth about why I think Lewis is wrong. I've explained it a lot in my comments on HN lately and can't be bothered to do it again. That said, if the linked article was more professionally presented and didn't have the weird racial language the points are basically what I would argue against Lewis' premise.
Edited for clarity.