Map Rewards: I don't get it...
Someone else on another thread recently said that the reward isn’t a given. It’s just a chance that it will drop.
I haven’t really done anything with this yet, so not sure personally.
You get the map rewards from doing events in the map. In beta it was something like every other event got you the next item on the list and they went through a cycle. I haven’t paid much attention to how it’s working live because it’s slow enough I just accept it as a minor addition to my event rewards that happens now and then.
So events completed on said map reward said item? Ok that’s a lot better than map completion.
Map Completion rewards and Map Bonus rewards are two different things.
You can only complete a map once per character (and receive the Map Completion reward chest), but a character can obtain Map Bonus rewards indefinitely (which are deposited directly into your inventory, and are the mats/items that cycle through the list shown when mouse-hovering over the Map name).
Events, mini-dungeons, Jumping Puzzles, etc. all contribute toward Map Bonus rewards.
Good luck.
I completed Karka Queen Event this morning and received a Crystal Lodestone as a map bonus. It was a nice surprise since the bonus was worth more than either of the underleveled rare items I got for completing the event.
Below is the thread where I explained how map bonuses work:
https://forum-en.gw2archive.eu/forum/game/gw2/Giant-Eye-and-new-map-bonuses/first#post5672720