Just one large helping of bad luck can have the same effect: just a divorce can start the whole domino process.
Particularly so for men, who are most likely to be street homeless.
Almost 40% of homeless people are homeless because family or friends can no longer accommodate them.
I'm not sure of a better option for those who won't engage
Homelessness legislation is strict, very strict, and local authorities only owe a duty to homeless people who are in "priority need". To get emergency accommodation, you need to be in "priority need", the main categories being pregnant, having young children, or being "vulnerable".
The main homelessness case law is that to be "vulnerable" you must be significantly more vulnerable an ordinary person would be if they were to be made homeless. There is a company called NowMedical who specialise in selling medical reports to councils wanting to claim someone is not vulnerable. Look up Dr John Keen, he's a right charmer.
This caselaw is, remarkably, an improvement on the previous caselaw, Pereira, which set the test as being significantly more vulnerable than an ordinary homeless person (i.e. you must be more vulnerable than all the other homeless people).
If you are a single adult, particularly a single male adult, then you can forget getting accommodation.
On top of this, anyone who is "intentionally homeless" is not eligible for help. My old local authority in the north east has a policy to treat anyone with rent arrears as "intentionally homeless", regardless of why those rent arrears accrued; too bad if you lost your job and suddenly couldn't afford your house.
The idea there's all this help available and people are "wilfully" turning it down is, quite frankly, laughable.
This is the context of things like the Travelodge being smashed up. These people have had years of councils refusing to assist, but suddenly now it suits councils they get chucked in a Travelodge and are expected to be eternally grateful for the council's largesse. Yeah right.
So, to answer your question, there is a hell of a lot we can do before we need to lock people up in a workhouse. We could start by treating homeless people with some common decency. In that regard, not much has changed since Cathy Come Home.
It is something to bear in mind when we talk about respecting society. It works both ways. "Society" treats some groups of people very very badly. I obviously don't condone it, but if society's institutions tell you to eff off, is it any wonder there is little respect shown in reply?