Would a Community Manager's strategy differ when managing social media outposts and a branded community? If yes, how?

I believe yes. Social media relies most importantly on the timing, and when a community manager has to handle such task, he/she should create the strategy around those times, in order to maintain accuracy and to always have time for editing or changing if required. The community manager should carefully plan their strategy when handling social media in general, specially when in charge of a client's platform. 

Yes the strategy differs but it has to be in line with the business and marketing goals for the community as well. It all depends on the amount of "why" questions you ask when strategising for a branded community. 

Say for example you're branding to a community of users for jewellery or hotels. The strategy differs for consumers depending the how you classify them. 

The answer usually depends on what type of demographic you are referring to, especially, if you are building a community management strategy for either a very niche or highly luxurious product. 

For instance, if you are targetting a very big industry brand like a brand within the telecom industry who audience is B2B then you can't use the engagement plan using a casual tone. You might be required to do a lot of though leadership and so on and so forth.

Yes, certainly - it must be found daily every hour on the news and events