[0] https://www.nytimes.com/interactive/2020/us/new-york-coronav...
[1] https://www.nytimes.com/interactive/2020/us/minnesota-corona...
edit: Also, Texas had a Phase 3 reopening on June 3, which is around the time of peak protest: https://gov.texas.gov/news/post/governor-abbott-announces-ph...
That said, social distancing during protests, being outdoors, how many people had active infections (this varies wildly across the US), mask use, actions (positive and negative) by the police, and living situations of the protesters (alone in an apartment or four roommates) all have an effect.
20% antibodies means that you could have an R = 1.25 and still get an effective R < 1.0, preventing further onwards transmission. R0 estimates for COVID-19 ranged from 2.5-6, so by itself 20% of the population with antibodies wouldn't do anything (it'd reduce R to 2-4.8, which is still pretty quick exponential spread, faster than the flu). However, R in the U.S. around the time of the protests was measured at about 1.07, because it wasn't fully opened up yet and many people are staying home out of fear. Under those conditions NYC gets an effective R = 0.85 (epidemic dies out), while a state with 2% antibodies has an effective R = 1.05, which is still positive (albeit slow) exponential spread.
I suspect it's a combination of the lax social distancing requirements + lack of immunity. NYC would still be experiencing exponential spread without existing immunity, but it's only because they're still locked down that the level of immunity they have can prevent an epidemic.
Not saying protests couldn't / don't have an effect. Saying that if we want to determine the root cause of the dramatic rise of Covid-19 in Texas, let's be logical about it.
[EDIT: Instead of calling Texas's decisions stupid, I changed my language to "un-wise", in the interests of precision.]
[1] https://www.twincities.com/2020/06/12/mn-coronavirus-george-...
[2] https://abcnews.go.com/US/minnesota-sees-rise-covid-19-cases...
[3] https://komonews.com/news/local/fewer-than-1-of-seattle-prot...