How Spiral differs of companies such as Duality Technologies [1] and DPella [2].
As a rule of thumb, HE allows you to offload a intensive computation (or one that requires a private model) to a server that you don't trust. Only you can decrypt the results. DP, on the other hand, lets the server analyze big data and use the results. Privacy is achieved by each input being "noisy", so no little information is leaked. The statistics still work because over a large data set the noises cancel out.