The Sussex route plan - from 2010 but signalling is very unlikely to have changed -
here (pdf download, 1MB) declares in the appendix on page 32 that Dorking to Horsham has a signalling headway of 9 minutes. This probably isn't inaccurate[sup][Citation Needed][/sup].
However, I suspect it only has 2 aspect signalling (like the East Grinstead branch, which has an 8 minute headway). If I am right, this means that in practice you would not e.g. schedule consecutive 9 minute headway trains all day, as if any single one of those was even slightly late then it would delay every single train behind it for the rest of the day. Compare with a 3 or 4 aspect line where every signal can show yellows, allowing trains to start moving sooner behind a delayed train. You thus expect to run well below this capacity, to stop the schedule from falling apart.
4tph is the maximum I've ever seen scheduled down the East Grinstead line. To me, 3tph thus sounds like a reasonable upper bound for a reliable timetable via Ockley, although 4tph is conceivable if 9 minutes is accurate. When combined with power supply issues and finding enough train crew, enough trains and decent paths through Dorking, Epsom and Sutton it perhaps isn't considered necessary or practical to try and run this.