Police have been accused of double standards in dealing with rallies after failing to issue a single fine at a gathering to 'protect' Belfast's cenotaph.
A week earlier up to 70 people were penalised for breaches of coronavirus regulations at anti-racism protests in Londonderry and Belfast.
A Policing Board member last night accused the PSNI of inconsistency.
However, a senior officer said evidence gathered at Saturday's protest was being examined and those who attended could still face prosecution.
Several hundred people stood outside City Hall on Saturday afternoon following an appeal from a group calling itself the Northern Ireland Cenotaph Protection Group (NICPG). It has called for war memorials to be protected amid attacks on statues of historical figures across Britain.
In an earlier statement, the NICPG said it was "not a protest or political movement", adding: "We are there to protect and defend only, not to inflame the situation."
Former Britain First deputy leader Jayda Fransen and ex-Belfast councillor Jolene Bunting - who has been linked to the far-Right group but has always denied being a member - were in attendance.
Several of those taking part wore British military uniforms, while Union and Ulster flags were draped over the railings of City Hall.
Many participants wore masks but social distancing guidelines were reportedly not followed by everyone at the event.
The PSNI said no fines were issued during the NICPG gathering.
That prompted comparisons with the previous weekend, when between 60 and 70 fines were issued to Black Lives Matter protesters in Belfast and Derry.
Unlike Britain, no monuments or statues have been targeted during anti-racism protests here.
Blathnaid O'Donnell, a Black Lives Matter protester, was fined at a rally in Derry on June 6, but has vowed not to pay up.
Last night she said the PSNI's approach at the weekend had "strengthened" her determination to have the fine dropped.
"This is more proof as to why we shouldn't be paying the fine.
"They (the PSNI) are picking and choosing who receives fines," she told the Belfast Telegraph.
Alliance MLA John Blair, who sits on the Policing Board, said the PSNI has questions to answer over what he said appeared to be "differing responses".
He said the PSNI needed to show a more consistent approach.
"The PSNI has a challenging job and receives support from the vast majority of people in Northern Ireland, including Alliance, in its role of upholding the rule of law," he said.
"But accountability is a vital part of modern policing here and questions need to be asked about the seemingly different approaches to these two protests.
"People should not be gathering in large groups in the midst of a pandemic.
"They are putting into risk not only their own lives, but the lives of others.
"However, the PSNI needs to apply a consistent approach to all such protests or else they risk damaging the community confidence in the organisation, particularly from ethnic minority members of our society."
Ciaran Moynagh, a solicitor with Belfast legal firm Phoenix Law, which is supporting Black Lives Matter protesters who have been fined, said he will be asking the PSNI to explain its handling of the gathering.
"We are raising this with (them) to seek answers on how strategies can differ," he tweeted yesterday.
However, the PSNI has strongly defended officers' response to the weekend protest.
Assistant Chief Constable Barbara Gray said that the force had been faced with a "very different environment" from those at the Black Lives Matter protests.
"I was faced with a situation involving many different groups of people, at a wide variety of locations across Northern Ireland, demonstrating about a number of different causes," she said.
"I understand that these are difficult times for many communities and my focus was very much on public safety.
"I was extremely mindful that this was the first weekend businesses were able to open across Northern Ireland and anticipated large numbers of shoppers and members of the public would be in the area.
"Information we received indicated that people from a number of different groups would be present in the area.
"These challenges presented a very different environment to that of the protests last week (June 6).
"To be consistent across such a range of issues (on Saturday) we maintained our approach of engaging, explaining and encouraging.
"Enforcement will be considered following the substantial evidence gathering operation that was in place to record any potential offending."
She added: "While no fines or community resolution notices were issued (on Saturday) at the City Hall (or in any other location), all evidence gathered will be reviewed to detect offences and we will work with our partners in the Public Prosecution Service to bring offenders to justice."