Wooglet's is basically old school Zhonya's Ring - don't know why they didn't just unretire that one and swap it out.
The others are not so bad; Liandry's procs over 3 seconds, which means it doesn't maximize effectiveness in teamfight situations (where burst casters and carries are dealing damage in short succession). In those situations it's worth AT MOST ~15% of your health before MR is factored, and that's only if the caster is good enough to make the last proc on you a single-target, non-DoT, that impairs your movement for the full 3 seconds. Note that there are few, if any, 3-second slows, stuns, or snares. This is why you'll start to see AP champs swap it out mid-late game for a straight-up DFG (if they don't already have one), or some other high-AP item that they didn't already have.