Destiny is on four different consoles, while Halo MCC is on one. I would imagine it is more complicated for a single team to fix all of the errors on multiple consoles than it is to fix errors suffered on a single console. Getting patches and updates approved by both Sony and Microsoft would add time to the process.
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I disagree with this, each console has dedicated teams along with years of development. Also codes are specific, not general. Halo had to make 6 games merge smoothly. Halo isn't fixed as of yet, they are still working on it. My point was that with Halo the developers seem to be sprinting towards improvement while keeping players up to date, informed and admitted errors on their end. Bungie has done the opposite thus far; hopefully it's fixed soon and all of this will be behind us though.