What does that have to do with UN not being allowed to get food in?
You mean where it explains why Israel is currently stopping supplies while setting up a second borderline in Gaza parallel to the Egyptian border, etc…& when they (supply/aid/fuel) resume, it’ll be not via Hamas/UN/UNRWA, but via the IDF, with the idea being to intensify pressure on
Hamas until they release all remaining
Israeli hostages, disarm, and leave Gaza?
en.wikipedia.org
(YouTube & Game Over for Hamas, Israel's NEW Strategy Revealed)

So with control of dispensing & dispersal of aid supplies of fuel, food, medicine, etc…soon to be in IDF controlled areas of Gaza by the IDF itself, it’ll cut Hamas (& Friends) out of that market…while also simultaneously completely interrupting access to the tunnel system from Egypt under that border into Gaza (isolating that Rafah anthill from the rest of Hamas). I suppose other than that, it has little to nothing to do with the UN.
This will return the aid/fuel/food/medicine to direct aid to the Palestinians in Gaza removing militants from initially confiscating them for resale to merchants for resale to the population as a whole.

Anyway, that’s what I picked up watching that eight & 1/2 minute video. Someone else watching the same video might pick up something else.
This is squarely on the shoulders of Hamas and its supporters.

With that in mind above, Hamas wants Israel’s full withdrawal from Gaza, & Israel wants Hamas’s full withdrawal from Gaza, so they have that in common.

Sounds like some Palestinians are also seeing the above (open protests against Hamas in Gaza, etc…), perhaps Hamas without an income might feel less welcome in Gaza or welcomed by the Palestinians…