Currently, most bleed skills deal their damage in a staggered manner. There is no initial tick, and it takes 2 seconds for the first tick to come about.
For skills like Cleave, this leaves it in an bit of a slightly unintuitive, but still manageable state, where the bleed only begins to apply once your are done using the skill, rather than persisting throughout the skills use.
It also negatively impacts other bleeds that have a % based application. Such as with the 2H and DW axe passive bleeds, who can be overwritten much the same if you're unlucky enough to get lucky with several applications of a bleed. (this could be an issue later if these passives ever get touched)
My suggestion would be to either spread out the damage to include the 0 tick, or create a separate version of these bleeds that has damage on the zero tick that is only applied to a target that already has the same bleed applied to them.