There is the chance of a buyout by a private equity firm bringing better management of core assets, leading to better products and soaring sales...
I wouldn't expect "private" to necessarily be more aggressive. The psychology of the leadership is not so directly linked to the type of ownership.
Private, per se, may not necessarily be more aggressive but D&D is such a small part of the Hasbro universe that the opportunities the brand presents would be more aggressively pursued in a smaller corporate environment such as that offered by a private firm (IMO).
Management can simply identify and pursue opportunities without having to worry about hitting a particularly quarterly earnings target (of course, it does without saying that they do have to hit an earnings target at some point but they can do so without being crucified by analysts et al).
Under the theory that only quarterly numbers matter, there's no way then for a new edition to ever be written. 4e was associated with a year of really low sales, clearly contradictory to the idea that only continually meeting quarterly numbers matters.
In principle they can "outsource" the design and development of a new edition to one or several freelancers.
Setting aside the "most cases" for the moment...
The overall management seems to have been pretty good. We may or may not agree with what they've done with our particular favorites, but it sounds like Hasbro is doing well in a tough economic climate. Not just any old management is apt to beat them at it.
Again, not necessarily. The whole of Hasbro is huge. WotC is a small part. D&D is a smallish part of WotC. without knoing the character of the new management in detail, there's no reason to think this small corner of the overall business would get any real attention, much less aggressive attention. (snip)
(snip) For something this large, the analysts are there, regardless. Only who they report to changes.
The idea that the management doesn't have to report to another authority cuts both ways. They are free to do things stockholders might not agree with - that doesn't mean those things are good for the brand in question. They are just as likely (if not more likely) to throw it under the bus for economic gain as they are to aggressively pursue the business in a serious manner.
(of course, it does without saying that they do have to hit an earnings target at some point but they can do so without being crucified by analysts et al).