First past the post does not prevent big government

First past the post anarchists and libertarians often make the claim that without fptp government would be more expansive... that it is the fptp parties (particularly on the right) which prevent big government. But if we examine this claim it cannot be true because under every type of electoral system the governing parties still need to get elected. If the people were in truth strongly opposed to small government those fptp parties who want that would never get elected. If the people want more government than the politicians there is no voting system which will prevent big government because the politicians are powerless to prevent it since to stop it they need to get elected. However if the politicians want more government than the people this is possible if the voting system doesn't allow the people to get what they want. Only if the voting system is unfair do the people not get what they want... and if the people want big government fptp will not hinder that because there will always be a party of the left which panders to that. Fptp does not prevent big government and to claim otherwise is to suggest the electorate is to the left of the centre-left fptp party which cannot be the case. Unfair electoral systems can only ever deliver more government than the people want... not less. If people want big government then under any system they will be able to get it. If people want small government it might be true that fptp prevents this.