I think this makes the Met look really stupid, but have to say I think politcians have ramped up this situation, and doubt the Met or any police force, nor the ordinary person on the street would come out of this well in taking a decision on the spur of the moment.
I certainly think the Met should apologise, but I think we need to find a way to calm down the whole hate crime, dobbing people in culture that people like Braverman have provoked.
And as we know from how quick TRAs are to report someone to the police, there is no doubt this happens in other areas. For all we know someone approached the police man I said I feel threatened. (And doubt that met police are required to be educated about different religions, cultures and the importance of signifiers of that.)
In France you aren't allowed to wear anything that is seen as religious, ie women not wearing the veil, although have no idea if this means that in France Jewish men cant wear a skull cap in public.
The boroughs in the part of London I live in have had to resort to no public displays whether flags or posters reflecting support for either side in the Gaza conflict. (Not forgetting that not that long ago the English flag carried far more connotations than supporting a football team and some boroughs stopped them being displayed on housing estates they managed.)
In Northern Ireland they have the parades commission as a way of "safely" allowing parades in support of differnt communities to go ahead but only on agreed routes. (Isn't there something similar in Scotland in relation to football matches and sectarianism?)
Not meaning to downplay what happened but to expect the bobby on the beat to have the right response is in fact one of the things the Met did complain about. That the Government was franchising out to them decisions about how society should behave, but not having the intergrity to do it itself.
But as OP's question was about how the Scottish police would respond to this situation, I think the question should be asked of the politicians in Scotland who created the law. Not the muggins on the front line who have been left to as individuals interpret, or worse take advantage of to promote their own biases.