Bare in mind some of the countries primary defence concerns are still conventional warfare (South Korea), land based counter insurgency (Algeria, Thailand) or a mixture of both (Egypt and also Turkey whose LHD is F-35B compatible so I didn't include it though the Turks don't really need a light carrier either).
What benefit does Egypt or Algeria gain from an LHD when their main opponents are inland insurgents (and Egypt always has Israel in the back of their mind)
Lion
You assume these countries operate a wide variety of helicopters.
Even South Korea, Turkey and Australia have barely enough naval ASW/ASh helos for it's surface escorts, let alone an LHD.
Even the French would struggle given dire availability rates for their helo fleets and low number of NH90s being acquired (34).
A fleet of 16 SH-60s is huge by 2000s standards, let alone 16 functional ones (which implies a fleet of about 30 to maintain training and deep maintenance).
ASW/ASuW helo fleets:
Algeria: 6 x Lynx on order
Australia: planned 24 x MH-60R to replace 16 existing SH-60B (S-70B)
Egypt: 10 x SH-2G, 5 X Sea King Mk 47
France: planned 34 x NH-90
Italy: planned 10 x EH101 Merlin + 46 x NH90 (Eyeties have maintained fleets)
South Korea: 19 x Lynx (all variants)
Thailand: 6 SH-60B (another 6 MH-60 in transport role), 2 x Lynx
It works for Japan which has about 100 ASW/ASuW SH-60 variants for example.
So that leaves transport and attack helos for countries whose usual threats are land based!
And again some of those countries barely count any attack helos in their arsenal (Thailand) or Australia (mere 22 non-operational Tigers) or are too large and won't fit in hangars for maintenance/storage (e.g. Algerian Mi-24 Hinds).
And most aren't navalised (eg anti corrosion treatment or folding components)
Attack helo fleets:
Algeria: 42 x Mi-28 on order to replace similar number of Mi-24s
Australia: 22 x Tiger (to be replaced probably by AH-64E)
Egypt: 40+ AH-64A/D + 46 Ka-52 ordered specifically for Mistrals
France: planned 55 x Tigre
Italy: 60 x A-129 Mangusta
South Korea: 75 x AH-1F/S (some to be replaced by 36 AH-64E)
Thailand: 7 x AH-1F (operational status unclear)
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As for CH-53 only non-US countries to operate them are:
Iran (old RH-53D mine sweepers, no LHA/LHD)
Israel (no LHA/LHD)
Germany (no LHA/LHD)
Japan recently retired their MH-53Es.
CH-47Ds are more common though again fleets are often small (e.g. Australia has about 13, Egypt between 15-19). Algerians used Mi-8/-17).
CH-47s are not navalised and take up huge amounts of real estate on an LHD.
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I would say LHDs are great provided you:
a. Maintain a large enough helicopter fleet
b. Have sufficient economies of scale for the LHDs to not chew up staff and other resources or require a massive proportion of your service fleet to escort it in a shooting war.
c. Actually have a need to have one (primarily colonial style warfare and humanitarian interventions)