DDIM and DEIS are not the only noise scheduling options, there is also UniPC.
And the Image Generation Scheduler options are:
DDIM
DDPM
PNDM
LMSDiscrete
EulerDiscrete
HeunDiscrete
EulerAncestralDiscrete
DPMSolverMultistep
DPMSolverSinglestep
KDPM2Discrete
KDPM2AncestralDiscrete
DEISMultistepUniPCMultistep
UniPCMultistep
So it is not a 1 to 1 mapping.