So arguably both the political factors are actually encouraging these moves.
the City is a glorified borough council with a long complicated history, which has granted it a large bank balance, weird electoral franchise, small police force, and an observer in Parliament
every business in the City follows the same set of laws as those a 10 miles away in Croydon, other than local bylaws (laws on things like littering and dog mess)
Although it's a valid point, most of the dodgy stuff is now done in a weird off-the-books theoretical location (or downright explicitly in the whole city).
Still interesting the Queen can't go inside without permission.
The City of London is part of Greater London and subject to the jurisidiction of the Greater London government. ("Greater London" being the entity that most people are thinking of when they refer to "London"). The London Stock Exchange is in the City of London, which means that it's also in London (Greater London) as well.
It is organised differently to anywhere else in the UK, and distinctly odd. The rest of the UK got rid of those few last remnants of the Middle Ages in the 50s through 70s, though nowhere had kept around as many as the City.
They some senior people in the City of London government was clear that they had to balance the desires of the residents with those of employers/employees. Otherwise residents (<10,000) would have significant sway over employees (>300,000).
Its not some weird dystopian future. It simply makes sense to listen to those who live and work in the City.
the employer is instructed to allocate such that "voters nominated should reflect the whole diversity of an organisation's employees, including gender, ethnicity and seniority"
the employees nominated can then can vote however they want (secret ballot and all)
the employer itself can't vote
the firms I've worked for in the City handed asked for volunteers each year, and then selected people at random from those volunteers
(and there simply aren't enough upper management per votes allocated to stack the ballot that way)
I'm sorry. This is neither the place nor the time. I'll clear my desk within 15 minutes.