We know {from {qaStaHvIS wej puq poHmey...}) that {poH} is countable. ({puq poHmey} also appears in one passage in the 2ed.) But there's a complication, since {puq poHmey} is a kind of metonymy. That is, it refers to a group of people, even though the words actually describe a period of time (a "child period" or "offspring period"). So {puq poH Hoch[Hom]}, if it means anything, would not be "all [most] of the people of the generation" but "all [most] of the child period".
In any case, it seems that {poH Hoch} would be grammatical and means "all of the time period", even though {poH} is countable. However, {poH} (and in particular, {vatlh DIS poH}) is a sort of thing that seems like it's naturally divisible. If you divide a {poH}, you get a {poH} (even if it's a smaller one). That isn't true of {tlhIngan}, so {tlhIngan Hoch} might not be okay even if {poH Hoch} is. I think a {chab} is arguably more like {poH} than {tlhIngan}, as it's a thing that you would normally divide to share for eating (if you divide a {chab} you still get a thing that would be {chab}, unlike {tlhIngan}), so I think {poH Hoch} suggests that {chab Hoch} is okay. But that's just my opinion.
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De'vID