I have tried installing destiny multiple times on my Xbox one, because of fake updates that are essentially just preventing me from playing because even though it tries to install them it gives me the wasp error code, I tried everything listed by you on how to fix this:
-Cycled my router
-Used a wired connection
-Tried re-installing (This doesn't work because i still have to install updates and the wasp error code is still relevant).
This is a complete and utter problem on you're part Bungie, this is not only preventing players like me and new ones from not only playing this game, but also missing out on the raids, nightfall's, and weekly heroic strikes my friends do early in the week. This has also caused a lot of anger and frustration causing me to do irrational things. Why do i even bother, you're not going to fix it, you're probably just going to go patch a loot cave or add more things for play station that we Xbox users won't see for a year).
In the wise words of Zach Efron in neighbors: "I'm not mad, I'm just disappointed" Because that's what I am, i used to enjoy this game so much, I got to level 30 a few weeks after the raid came out, I got the "Mythoclast" the first week of the hard raid, I grind-ed for countless hours just to get amazing items to use, and now I'm not even able to play.
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I'm having the same difficulty and just bought the game. I played up to level 5, turned the game off, came back and now it's stuck in infinite WASP loop. Done all the troubleshooting steps as well. Seriously, if this is all I'm going to get then I want a refund so I can try out the HALO package to see if it is equally fail.