There are many differing opinions on just exactly what secular homeschooling means. Here is a definition provided by a homeschooling mom named "topsytechie."
A secular homeschooler is a person who, whether or not they
ascribe to any particular religious faith, is not homeschooling for
religious reasons, but because it is the best choice for themselves and
This pretty much sums it up, and seems to me to be a positive viewpoint of what secular homeschooling is meant to be.