Does it matter if the company/project commits or not for it to be responsible disclosure? Lately the approach to handle lazy companies has been "You have this bug, and I'm publishing my research in x weeks/months as part of my work. Please patch it before then"; and I think it has worked well enough when they calculate that the bug will cost them money.

Renaming "responsible disclosure" to "coordinated disclosure" seems to have the same flaw, since a lazy company involved in coordinated disclosure might look more committed than it really is. The focus should be in the process and not the names.