The phrase "a different matter than" is correct and usable in written English.
It can be used when comparing two subjects or issues to indicate that they are distinct from each other.
Example: "While the budget is important, the team's morale is a different matter than financial constraints."
Alternatives: "a separate issue from" or "a distinct topic from".
Co-operating is a different matter than a request for assistance.
Moreover, he said, the context of fighting makes it a different matter than hits to the head.
"It seems to me," Justice Ginsburg said, "that a juror who is perfectly qualified, who it is conceded could not have been dismissed for cause, is quite a different matter than a judge who has taken a bribe or who has a monetary stake in the case".
Posts about self-harm are a different matter than bullying, of course, but they fall under the broader umbrella of user protection and safety.
Teaming with AWS is a different matter than the previous announcements because with AWS it gets the top player in the market, which could help salvage its cloud business (and indeed its entire business) after so many false starts.
House Training your Golden is a different matter than training.
Bringing in a few patio chairs you already own and setting up a tabletop fountain is a far different matter than knocking down part of an exterior wall to install a sun room! defer.add img); Bring in some beach-inspired colors.
Dying within a decade of age 50 is a very different matter than dying within a decade of 70.
Jeopardy, I'm told, is a different matter, rather more than just one step up in complexity.
It is a completely different matter than much (we currently do not have a clear idea just how much) of the junk DNA is co-opted for various functions including control of selfish elements, both transposons and viruses, which is indeed crucial.
There are feedback systems that embrace complaints, and they can often be beneficial to an organization, but those kinds of strategic internal communications are a completely different matter than negative chatter among team members.
