That's a reason for it to stop being selected against. For it to actively spread as is being claimed above, it's got to be contributing something, or very very lucky.
Suppose you have two types, A and B, and each type gives birth to itself with fidelity .999. (That is, out of a thousand births from As, you have 999 As and 1 B, and the same but reversed for Bs.) As have 1 child each on average; Bs have .5 children each on average. There is a equilibrium ratio of As to Bs in the population that you can figure out pretty easily.
Now suppose the number of children the Bs have raises up to .9. What happens to the ratio of As to Bs?
The selection pressure is still in favor of As, but even when it's strong Bs are still around because of the mutations. (With sexual selection, and multiple genes, it becomes easier for B contributors to stick around in the gene pool.) When you decrease the edge that As have over Bs, the equilibrium number of Bs increases.
That assumes a ridiculously high mutation rate. For the vast majority of alleles the mutation rate isn't what matters but the selection rate.
A recent entry from the West Hunters blog (written by Gregory Cochran and Henry Harpending with whom most LWers are probably already familiar with) caught my eye:
Seems quite coherent. It meshes well with findings that the more children parents have the less they subscribe to nurture, since they finally, possibly for the first time ever, get some hands on experience with the nurture (nurture as in stuff like upbringing not nurture as in lead paint) versus. nature issue. Note that today urban, educated, highly intelligent people are less likley to have children than possibly ever, how is this likley to effect intellectual fashions?
Perhaps somewhat related to this is also the transition in the past 150 years (the time frame depending on where exactly you live) from agricultural communities, that often raised livestock to urban living. What exactly "variation" and "heredity" might mean in a intuitive way thus comes another source short with no clear replacement.