Power and damage type when exile or dying

In my testing I've seen that these are not always calculated correctly when leaving the battlefield.

1. Infect damage type is lost. I have experimented both with Ukkima Stalking Shadow and Fireblade charger. This seems to occur both when the creature dies and when exiled. Both times my experiment was performed with Grafted Exoskeleton. I chose different targets of players and creatures, neither realized the consequences of infect (-1/-1 counters or poison counters).

2. Power increases via +1/+1 counters, temporary boosts (IE giant growth), equipment (IE grafted exoskeleton), and auras (ie rancor) seems to be missed. This is exclusive to being exiled. This is either from friendly effects (Thassa, Deep-Dwelling, Conjurer's Closet, or Deadeye Navigator) or enemy effects (IE swords to plowshares). Dying seems to correctly trigger using cumulative power.