Yes, deliberative democracy is ideologically biased, because it allows the opinion of the masses to rule, for the most part, With elected officials beholden to the people for election to additional terms in office, they will likely vote the way they think most people want them to vote. This creates a bias of the ideology of allowing the opinion of the moment of the masses to rule.
A deliberate democracy involves the long, drawn-out democratic deliberation concerning public policy. There is nothing inherently ideological nor biased in such a manner. It really depends on the individuals participating within the democratic process. If they choose to be ideological, then it's up to other participants to call them out.