My Lord your analogies are pathetic.Rough sleepers are just a subset of the homeless population. To focus just on them ignores all the other homeless people.
A bit like Tigers players are a subset of AFL players. To focus just on the Tigers players, ignores the other 17 clubs.
The ABS have three main categories of homelessness - those in boarding houses, those in supported accommodation, and those who sleep rough.
This is by no means a globally aligned definition.
Would it be outside the realms of possibility that the layperson would consider someone homeless only if they do not have a roof over their head? (i.e. sleeping rough)
I know you wouldn't, because it wouldn't enable you to label someone a troll by providing stats that support your argument, regardless as to whether or not it is aligned to their perspective on the situation.