No, I used an extreme example to illustrate your black and white interpretation is flawed. You stated that political beliefs are protected under the equality act, I demonstrated that is not always the case.
For a belief to be considered a belief and protected under the Equality Act it must;
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Be Genuinely held.
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Be a belief rather than an opinion or viewpoint based on the present state of information available.
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Be a belief as to a weighty and substantial aspect of human life and behaviour.
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Attain a certain level of cogency, seriousness, cohesion and importance.
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Be worthy of respect in a democratic society – not incompatible with human dignity and not in conflict with the fundamental rights of others.
Political beliefs are especially difficult to define under the act because of points 2-5. Nigel Farage might argue his accounts has been closed because of his deeply held brexit belief, but it would be just as easy to argue that this is a view not a belief (especially as he's publicly admitted brexit has failed) or that this belief doesn't pertain to a substantial aspect of human life.
It's gets even more complex because beliefs can be played off against each other and businesses have freedom of contract. Take Triodos bank as an example, they have set themselves up as an ethical bank with specific beliefs under pinning their operations. Part of this requires individuals to meet additional criteria (above legal requirements) in order to be eleigbe for a business account, specifically around transparency and responsible business practices.
They will not give an account to someone who has connections with tax havens (unless haven't they can demonstrate that this does not exist to minimise tax liability) or with a wide range of sectors including fossil fuels, factory farming, mining, to name a few.
So a Nigel Farage or a Jacob Reese-Mog or a Rishi Sunak wouldn't not be able to open up a business account with them and there's no discrimination about it even if they all have deeply held political beliefs about free market capitalism and fiscal conservatism.
Are you arguing that Tiodos should be forced to work with anyone, even those diametrically opposed to their ethos and if so why do Triodos' beliefs not deserve equal consideration in your mind?