Intelligent readers/investors continue to follow investment publications because they have benefited from their information. Once they no longer benefit, they drop them. Loyalty only goes so far.
There is no particular reason Murdoch would change the current formula. However, if staffing was cut back for financial reasons or the best writers/analysts began to leave Barron's for greener pastures, there would be a downgrading of the information. It would likely lose you as a reader.
As far as investments are concerned, there is no reason to significantly alter the basic coverage and delivery of information. Giving bad investment advice would benefit no one, including the publication. Depth and quality could be affected, but I see this as something potentially occurring over time, not in the first couple of years. Virtually all publications have been cutting back, no matter who owns them. This is negative because a lack of generally-available investment information will force investors to seek out paid brokers/consultants as the primary and perhaps only source for all their information. The more quality, accessible investment voices there are, the better.