I think it's difficult to speculate on the benefits of blockchain technology for voter turnout. I do believe that the technology has the benefit of increasing transparency and reducing corruption within any sort of electoral system. However, if that will translate to increased voter turnout is a big leap to make.

Let's not forget, voter apathy is a huge issue in a democratic society. If people feel like their vote won't actually matter or change the things they dislike about the current political regime, using blockchain won't solve that problem.

Now, I do think there is an argument to be made that blockchain has the potential to make government bureaucracy more efficient, transparent, and less corrupt. If blockchain were to be used to administer the public health system, for example, leading to reduced inefficiency and waste, then you may down the road see a resurgence in belief in the democratic system for those who choose to sit out.