Is it true that there is no absolute morality?

[Nonpareil]

Just to be clear, are do you reject all forms of objectivity or just moral objectivity in particular?

Moral. This is because morality is a value system, and all value systems are, by definition, subjective to some viewpoint. The idea of an objective moral system is contradictory; a system cannot be both objective and subjective at the same time. This is the cause of the digression earlier in the thread about whether or not morality defined by a god would be objective or not, because objective morality has to both be subject to God's viewpoint, in order to be a moral system, and not subject to any viewpoint at all, in order to be objective.

This is why I use the phrase "incoherent". It refers to the fact that moral objectivity is both poorly defined and nonsensical.