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you want people who can afford to dedicate themselves to the role
I know many dedicated people who would love to earn as much as the average wage. Free public transport and an MPs block of flats next to wherever parliament gets moved to and a free work canteen that has healthy but basic food and no booze seem like reasonable and sensible perks and allowances to allow work to be done. The average wage should be higher, and maybe it'll be a decent incentive to make it so if you're earning it.£33k is enough to live on though, if it was a proper, respectable job, rather than an old boys club and pathway to dodgy, behind the scenes power and jobs, then people who wanted to do a good job would be happy to earn it, if it's not enough to entice people then they're not in it for the right reasons. Obviously lobbying and other jobs will need to be properly sorted out too.
I disagree - you want people who can afford to dedicate themselves to the role. It's fair to say that the average wage in the UK comes with issues of housing and food affordability which would do the opposite for political mobility (ie people who didn't need the wage would be the only ones who would do it).
What I do think is absolutely sensible it to tie MPs salary increases and pension contributions to national performance so increases in minimum wage / average wag/ GDP etc. Incentivise them to improve outcomes for the population at large. That or tied to public sector wage increases as a whole.
That won't solve rich cunts like Sunak who don't give a shit about the salary but it's a start.