EDIT: I had a huge blow-out playing against Grixis. Opponent had a Ancestral Vision with one counter suspended. I play Wasteland Strangler targeting Ancestral Vision. In response, he [card]Lightning Bolt[\card]s the Strangler and the ability fizzles. Didn't know that was possible.
Well that isn't possible. Killing your Strangler does nothing to the triggered ability that was placed on the stack. The ability only fizzles if some other effect makes its target illegal. The ability is countered only by an effect that says "Counter target triggered ability."
Reference (http://yawgatog.com/resources/magic-rules/):
603.3. Once an ability has triggered, its controller puts it on the stack as an object that's not a card the next time a player would receive priority. See rule 116, "Timing and Priority." The ability becomes the topmost object on the stack. It has the text of the ability that created it, and no other characteristics. It remains on the stack until it's countered, it resolves, a rule causes it to be removed from the stack, or an effect moves it elsewhere.
608.2b. If the spell or ability specifies targets, it checks whether the targets are still legal. A target that's no longer in the zone it was in when it was targeted is illegal. Other changes to the game state may cause a target to no longer be legal; for example, its characteristics may have changed or an effect may have changed the text of the spell. If the source of an ability has left the zone it was in, its last known information is used during this process. The spell or ability is countered if all its targets, for every instance of the word "target," are now illegal. If the spell or ability is not countered, it will resolve normally. Illegal targets, if any, won't be affected by parts of a resolving spell's effect for which they're illegal. Other parts of the effect for which those targets are not illegal may still affect them. If the spell or ability creates any continuous effects that affect game rules (see rule 613.10), those effects don't apply to illegal targets. If part of the effect requires information about an illegal target, it fails to determine any such information. Any part of the effect that requires that information won't happen.
This is more like the Bribery example for both of the situations you described. Since the effect to change control only triggers at the end of the turn it won't end when the player loses (just as if he/she had played Acquire to pull it from your library), so the player will still control Jinxed Choker when he/she leaves the game and it will get exiled.
I'm not a Judge though. Just interested in puzzling this out as well.
Well that isn't possible. Killing your Strangler does nothing to the triggered ability that was placed on the stack. The ability only fizzles if some other effect makes its target illegal. The ability is countered only by an effect that says "Counter target triggered ability."
Reference (http://yawgatog.com/resources/magic-rules/):
603.3. Once an ability has triggered, its controller puts it on the stack as an object that's not a card the next time a player would receive priority. See rule 116, "Timing and Priority." The ability becomes the topmost object on the stack. It has the text of the ability that created it, and no other characteristics. It remains on the stack until it's countered, it resolves, a rule causes it to be removed from the stack, or an effect moves it elsewhere.
608.2b. If the spell or ability specifies targets, it checks whether the targets are still legal. A target that's no longer in the zone it was in when it was targeted is illegal. Other changes to the game state may cause a target to no longer be legal; for example, its characteristics may have changed or an effect may have changed the text of the spell. If the source of an ability has left the zone it was in, its last known information is used during this process. The spell or ability is countered if all its targets, for every instance of the word "target," are now illegal. If the spell or ability is not countered, it will resolve normally. Illegal targets, if any, won't be affected by parts of a resolving spell's effect for which they're illegal. Other parts of the effect for which those targets are not illegal may still affect them. If the spell or ability creates any continuous effects that affect game rules (see rule 613.10), those effects don't apply to illegal targets. If part of the effect requires information about an illegal target, it fails to determine any such information. Any part of the effect that requires that information won't happen.
Keep taking out suspended AV's with confidence.
I'm not a Judge though. Just interested in puzzling this out as well.
You can always try "Ask a Magic Judge" too: http://chat.magicjudges.org/mtgrules/
Shardless Agent
Baleful Strix
Toxic Deluge
Daze
Ponder
Not Reprinted:
Carpet of Flowers
Red Elemental Blast
Rest in Peace
Hymn to Tourach
Pithing Needle
Those have had multiple printings, including supplemental products. Her single printing so far helps prop up her price.