Non-relativists will always have a stronger case when they come into conflict with lazy relativists because non-relativists can appeal to some absolute, universal, or objective authority to justify their values and explain the process of evaluation that led to those judgments.
I believe this is true since lazy relativism seems to have various opinions but its opinions aren't fully educated or smart. They believe that they are always right and thinks that others are wrong.In other words they don't bother to account for themselves.