The vast majority of SE travellers have tickets, usually in the form of season tickets; these people are commuters, and it's a commuter railway. London and return journeys at peak times are this railway's stock in trade.
SE-gated exits are at all its main London termini, and that's where the people and the money are.
No daily commuter can rely on gates being open and unmanned on a regular basis, it's just not sustainable.
Fare dodgers exist, I've seen them, but set against the big broad rivers of commuters daily paying their way, the dodgers make a small trickle.
Remember, in any one rush hour somewhere between 240 and 400 carriages pass through London Bridge, each rammed with 100 passengers, as I've shown. You need to show several substantial and sustainable flows of traffic in use constantly to reveal anything other than a tiny percentage of travellers dodging fares.
The situation at several of the larger destinations out of London like Medway towns, Dartford, Orpington and the like, is designed to deter fare dodgers. Ticket barriers at all these places, dodgers just can't rely on a sustainable means of avoiding ticket checks and barriers.
It amuses me at Lower Sydenham to see a man and his bike and four teenagers get on an offpeak service, when they likely haven't a ticket. But I haven't seen (and you haven't shown) any evidence of anything other than an unreliable opportunity for small traffic streams to avoid paying fares. For example, no Canary Wharf worker is going to go to work each day in the expectation of avoiding paying his or her fare for an up and a down journey at Woolwich Arsenal. There will be opportunities to do so, but it's not sustainable.
And the revenue lost from such streams can be nowhere near enough to fund gates at, for instance, all the ungated stations on the Hayes lines, and then man those gate lines from 5.30am to 1am the next day.
To conclude; SE captures the vast majority of revenue across its network with manned gates at most of the heavily-used destinations for most of the time.
You seem to be making a lot of assumptions here, yes many commuters do have tickets but do they cover the entire journey?
A guard was telling me that there has been a crackdown around Ashford recently with on train ticket checks but such is the lack of respect for any sort of authority nowadays fare dodgers don't even bother with a lame excuse anymore, just an attitude of 'no I haven't got a ticket and what are you gonna do about it anyway'!