You are correct , that is the difference .
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There are two types of dry liners , that is where the differences in advise are coming from .
One type have a lip and fire ring on the top that locates in a counter bore in the top of the block . They are hone finished and once shrunk with dry ice and fitted , they are ready for the pistons .
The other type just look like a large diameter piece of exhaust pipe that is pressed in , topped (machined flat with the deck surface) and then bored and honed .
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A wet liner has a lip and fire ring on the top that fits into counter bores in the block . They also have grooves to take "O" rings top and bottom , usually one at the top and two or three at the bottom . Because the liner covers the open water passages , it needs the "O" rings to seal the water passage . The lower "O" ring is oil resistant as it seals the oil from the sump as well . Wet liners can be removed and re fitted by hand .
You will see the first liner is a Dry type with no lip , the second is a Dry type with a lip and hone finished and the third is a Wet liner with "O" ring grooves , hone finished .