Bubble Tea - Instant or Traditional Pearls
The moist ones are the semi cooked ones

Dry is something like this (really quick Google)
Dry Pearls

Semi moist is something like this (again, really quick Google search)  - I think we might be talking about the same thing with the instant ones you are talking about
Moist Pearls

From dry, have you experimented with the times and ratios?  I find that depending on which versions you buy, the cooking times and ratios change.  (I have no idea if it's from the composition of pearls or what)  Not sure where your current pearls are falling short, but try going to 8-1 ratio of water-pearls.   Other techniques to try is to before  turning the heat off for your post boil time, let it simmer instead for another 20-30 mins and then cool off in the water afterwords.  The problem I find is that there is no hard and fast techniques that work on all pearls!

The way I do it is

8-1 ratio boil

40 min simmer

20 min cooldown