An Eberspacher 801 controller would NOT be my first choice or recommendation for an S3 D5E Espar Hydronic heater. To be honest it seems a very strange choice of controller for this heater model.
If you wish to upgrade your controller to an EasyStart PRO timer or Easystart Select you should please first confirm which version of S3 D5E you have installed? is it a CL or CS version. This is important to learn.
However please be aware that all Eberspacher controllers are not designed to switch off/on the heater via referencing the ambient cabin room temperature. There should be additional means to control cabin temperature - for example thermostatic radiator valves on radiators, or perhaps a room themostat temperature controller that switch independently blower motors within heater matrices.
Thanks, let me know