For a concrete example, it seems to me that one thing that helps people get out of poverty is having some savings. Being poor is expensive, often because large expenses compound due to financing, late fees, or even just an inability to make bulk purchases. Having a financial cushion can make life a lot cheaper. But there's no way (that I can see, anyway) that the government can provide such a cushion for someone who wants to spend it right away on irrelevant stuff.
I know, I know, now you'll say "well you're poor, what do you need a tv set for, you should sit in your dank apartment with just the road noise for entertainment," and that's where the compassion kicks in: these folks are poor, they're not animals, and if TV lets them be less miserable, it's about as cheap a way to do so as is reasonable.
Regarding your second paragraph, no, I wouldn't say that. I'm not actually passing any judgment here. I don't think that buying iPhones and fancy TVs is a particularly wise choice for poor people, but I also don't really fault them for it. I'm merely giving an example of something which could help with poverty but which the government can't provide. A decent chunk of poverty comes from poor financial choices, and that's just an observation without implying any judgment towards the affected people.
Perhaps buying them books instead would work better? Community colleges are very inexpensive, there are state grants available to the poor. Why not create incentives to learn a skill/trade, perhaps a degree?
"Give a man a fish and you feed him for a day; teach a man to fish and you feed him for a lifetime"
But more to economic point: TVs are cheap. The TVs people complain about are maybe ~$500, and you can do very well if you shop second hand. They are a one-off capital expense which considerably improves your life, and which the lack of sale thereof utterly fails to meaningfully help you not be poor.
Because poverty is a flow problem, and it fails to be defined by whether or not one owns certain conspicuous goods. If we were talking about impoverished people who were nonetheless buying $3000 LCDs on debt every few years, then we might have something to talk about. But since concrete examples are always conspicuously absent when points of this nature are brought up, I'm content to point to the economics: selling your TV wouldn't meaningfully improve your situation, buying a TV doesn't meaningfully degrade it.
It's also worth noting that in a discussion of being unable to climb out of poverty, requiring people to dispose of all their worldly possessions before we help them is a good way to create a poverty trap.
That $500 could perhaps buy supplies to study at a local community college (tuition waivers/scholarships are available).
Poor != stupid.
If the answer is no, then it's stupid to complain about poor people buying an iPhone or TV. It's calling for a meaningless gesture of piety. They're not making those purchases in lieu of something that would advance their condition.