My dear Raghy uncle
Once decided to give dhanam, then dont look for the status, efficiency and etc. The annadanam has gained its own importance mainly because, man can be satisfied only in this. Also, this dhanam specifies the significance of hunger and poverty.
Might be as you said, this particular sloka has overlighted. But why??? Just to turn the minds towards the annadhana, it has been said like this. The same composer in a song will say no god is there above Parvathi, in the very next song he will say the same to vishnu. We should not get confused because of this na??? In the same way, this sloka too should be taken. It doesnt mean that other dhanas are cheap. But it insists us to do annadhanam.
When decided to give some thing, then why should there be classifications and gradations??? If your neighbour came to your house and ate one day. Similarly, your brother came to your house and ate one day. Will these be considered as annadhana??? (Certainly no; because, they are all not come under the "dhana" category, as one other day you also will go and eat in their home). Similarly, the rich persons doesnot need your annadhana also. So, the case which comes to your presence itself has already filtered. But you know, I saw even some millionaires have eaten like beggars in temples as a "Prarthana". So, we should not check for it. As Renuka mam said, we can donate the same to Orphanages, oldage homes etc. or even some beggars in the street.
I dont say that it will end-up in blesses and all. But you start doing that. Yourself will feel the happy residing in it...
In tamil there is a proverb saying, "Vaai Vaazhthaatalum Vayiru Vaazhthum". (even if the mouth which eats doesn't bless you, the stomach which digests will surely remember you). Doing this, will certainly brings calm and steadiness in your mind.
Pranams