You can have outdoor scenarios where rate of transmission is less than indoor situations. All outdoor situations are not the same. Outdoor has a number of variables when it comes to transmission of biological (or chemical) agents and it's not the end all and be all of the answer. Things like temperature, wind, humidity, terrain, cloud cover, wind stability, and presence of sunlight all have dramatic effect on the dispersion models that we use in the CBRN world when doing hazard modeling and consequence management. The probability of infection/probability of contagion algorithms also take into account exposure time, protective measures and known r0 of the virus. I can run the same V&V'ed advanced models on our systems right now that the military and federal governments use that show an alarming rate of transmission from the protests given that they occurred at night in warm and dry weather conditions and involved people without PPE training and minimal PPE equipment associating for hours and hours in close proximity performing anything from minimal to strenuous activity. The narrative that protests didn't spread and don't spread is false. The reason that the media is running with it is that the government is quite simply not looking for it and actively avoiding looking for it in many cases.
It is inconceivable that there were not increased transmissions from the protests and the one study that analyzed it tried to say that there were no spikes because the increased transmission was offset by people avoiding the protests. There are all kinds of issues with that. First, they couldn't even categorize the transmissions from the protests. Second, even if you measured the initial transmissions from the protest as small, the subsequent retransmissions would all track back to the protests. The bar would be an exacerbation, not the origin. You'd have to condition out all of the transmissions that occurred because the index patients got theirs at the protests to isolate for bars and no one has done that. Additionally, the age group of people that spiked coincides with the age group of the people at the protests, and that isn't a coincidence. The fact that the same age group then went out to bars in the days and weeks after the protests does not disqualify the protests from being strong sources, especially when the protests brought people from many disparate locations together thus contaminating areas that were uncontaminated.
From a consequence management standpoint, you do need to lock down bars as they are a venue with a very high rate of transmission. But, all things being equal, you should also keep the protests to a minimum, even though they are outside. There's a reason that the guidelines in many states limited outdoor gatherings as well and to groups as small as 50. Simply put, to excuse the protestors from their responsibility in transmitting COVID is quite irresponsible.