4tph is Lewisham-Vic is great but the way it has been arranged means just 2tph Hayes-London Bridge - it has moved further away from turn up and go, especially on the return trip.
It might be more than 4 Lewisham - Vic as I believe I read elsewhere that ex Sidcup line trains will be routing to Vic - not sure without checking if these are in addition to the existing Dartford - Vics via Bexleyheath. This would be beneficial as these trains are max 8 coaches, and are always networkers.
2tph Hayes - London Bridge, but with more trains going from Lewisham to London the interchange here should be better. It's not brilliant at the moment and hopefully the station will be redeveloped at some point.
At Victoria there will be 4tph - fine, change at Lewisham but only 2tph from there to Hayes - timings got to be right
At Cannon Street - plenty of trains to London Bridge or Lewisham, but again only 2tph to Hayes
At Charing Cross - only 2tph so miss one and you've got to time it right for the 2tph at Lewisham
Quite right on the timings needing to be right - I guess more services coming down from London - Lewisham should make it easy for ex CST/Ch+ passengers to pick up the ex Vic Hayes train at Lewisham if they miss the fast.
I might be reading it wrong but the other branches appear to have 6tph shared between 2 destinations (except the Blackheath-Woolwich link - and all the stations on the connected lines have more choices anyway); if Hayes had 4 to Vic and 2 to Charing Cross or vice versa that would balance things a bit more - everything is turn up and go and one change only for a choice of terminals - which I thought was the whole point of the new timetable.
That would be ideal but probably wouldn't be possible with the current signalling on the route - there's quite a bit of two aspect signalling between Elmers End and Hayes. There's also the issue of only two platforms at Hayes with opposing movements (trains departing p2 have to wait for arriving trains to cross over into p1 from the down before departing Hayes onto the up), allowing time for drivers to change ends etc. And that's before even considering stock issues.
Clock House is all of ten minutes at worst from Kent House - it's frequently recommended as an interchange by National Rail Enquiries.
I don't think this is a well used interchange.
From a quick play around on the TfL journey planner passengers from Hayes/West Wickham
- Vic are better off catching a bus to Bromley South. It might work at a pinch for Eden Park or Elmers End but the tram to East Croydon often works out just as well.
TFL recommend 15 minutes walk. Agreed it's probably less for a fit person, but hardly an easy interchange and does depend on timings of orpy-vic services at Kent House. 15 mins walk from Clock House to Kent House and 15 mins wait if you've just missed one.
Overall I see where you're coming from and can understand the criticisms. But given the infrastructure limitations on the mid Kent line, two trains per hour going to Vic may represent a better use of infrastructure when you consider additional trains to and from Lewisham for passengers towards LBG.
I'd imagine the thinking is that there will be more off peak demand for direct trains to Vic than there is to cannon st.