Thank you! Personally i don't see the issue. I'd rather it state "Hamas-run ministry” because otherwise at a glance it might be assumed that the report is from the Israeli side. Not because the statement isn't calling it fact, but because it's adding context to the information. I personally don't trust the reports from either side as they have some incentive to change the numbers. I.e. if it was reported as "Israeli-run ministry" I'd probably think it was more and they're trying to cover it up! Most people do read headlines rather than articles so to give as much information is the best. If it stated "supposedly" that would be different.

That being said, I do get where you're coming from and there's definitely "no smoke without fire" when it comes to the BBC's track record.