An idea I like is a branch of BoE entirely dedicated to create accounts for politicians and their parties where every single transaction is a public record.

The issue with existing banks refusing services to political parties is that established parties have no issue with it. They already have so much money and power that they could be their own bank. This is not the case for new parties. If you think the current two-party system is bad then you should probably consider this lady's argument.

Wasn't aware of this. Apparently a number of countries have regulations that affect financial institutions in how they deal with certain people who might be especially likely to be involved with bribery.

https://en.m.wikipedia.org/wiki/Politically_exposed_person

Wow. Bank policy is they don't do business with political parties. Kinda demolishes her entire argument? If institutions without such a policy refuse to do business, that's a different matter. Now, I only skimmed the article, but saw no mention of that type of difficulty.