Non-homeless people would use such a service as well, but it would be especially valuable to homeless, who could be given bitcoin/altcoin or perhaps obtain it from crypto ATMs.
Not having a physical address is a huge impediment to functioning in our society. Without a physical address, you can't have a credit card or a bank account. Without a credit card, you can't have a cell phone for internet access, or a gym membership to take a shower.
But shower facilities or gyms that allowed you to buy one month at a time with crypto, coupled with internet access that could be purchased with crypto, would allow people to function pretty normally in this society without a physical address. Neither of these would need to be specifically for homeless, nor would they need to be tax payer funded.