The rate is 42/10k for non-Hispanic White and 56/10k for all others - a common definition for people of color. So about a third more likely.
To provide some intuition if the numbers aren't clear that increased risk is about the same as:
* driving while having slept 6-7 hours rather than 7+ hours[0] 1.3x
* being a teen driver with a teen friend in the car rather than alone[1] 1.49x
* the increased cardiovascular risk from being highly sedentary vs. being active[2] 1.3x
As a whole, though, 'person of color' seems to be a bad grouping unit here because Asian people are 'people of color' and have a 7/10k rate, while Black people are also 'people of color' and have a 214/10k rate. Therefore, if I were trying to understand if there are subpopulation differences this is not the aggregation unit I would use.
So let's say hypothetically we kept the number of homeless people stable in Oakland, but made them all white. You think all (most? many?) of the people currently complaining about homelessness would shut up?
No, Appalachia's sufficient to negate that hypothesis, but it doesn't mean the people currently complaining about homelessness aren't also making judgements on racial grounds. A large part of the illegibility of Oakland to outsiders is mistaking other people's cultures for urban decay.
The way you've stated this implies a structurally-enforced causality with regards to vagrancy in such a way that, wittingly or otherwise, wholly denies the possibility of individual agency in the very people you're ostensibly trying to defend.
I'm curious where you see the levers of individual agency here, and to what degree you think the affected people have tried to pull them. What's _your_ underlying thesis?
That is beyond my proverbial pay grade. But it's not beyond my proverbial pay grade to state that believing that, systemically, “[x demographic in y location] are way more likely to be [in undesirable situation]” is completely denying agency to the individuals in question by pretending that [x demographic in y location] ending up [in undesirable situation] is something of a weighted dice roll made by unseen forces, completely outside of individual agentic influence.
Either you're willfully ignoring the American citizen's right to free movement between States, or you're actually saying that any given black person who moves to Oakland has—regardless of any life circumstances or decisions they've made, simply as a fact of their ethnicity—some arbitrary-percentage chance of ending up homeless, as some immutable localized nth-order structural outcome, regardless of any choices they make.
If people are systematically more likely to be in area X, that may be because they are systematically more likely to make the relevant choices - for example because they are under different constraints or have different preferences. Choice is part of social science.