I don't doubt it. However, the source you've chosen (Correio da Manhã) is famously untrustworthy. It's the butt of many jokes here in Portugal, being regarded as everything a news organization shouldn't be.
Is it fair to prevent wealthy people from going into politics? Does a politician have to be poor or middle class, or not own homes? At what point do the restrictions begin to become 'unfair'? Some people are born with wealth, which under this system would put them at a disadvantage in politics...fair?
Fair always has two sides, and it's "impossible" to come up with a perfectly fair system.