Whose responsibility is it? If someone is debating an issue I would hope they are familiar with and understand the underlying statistics relevant to their claims. If they claim conclusion X based on statistics Y but omit (intentionally or out of ignorance) that conclusion P is also plausible based on statistics Q, it is the responsibility of anyone aware of statistics Q to inform those claiming conclusion X that X isn't the only plausible conclusion one can arrive at because statistics Q exists that suggests conclusion P.
Are you seriously suggesting that someone aware of a different dataset that supports a different conclusion only bring attention to that dataset if those claiming the original conclusion are interested? That's preposterous.
https://byrslf.co/the-null-hypothesis-loves-you-and-wants-yo...
Please don't be offended by this, but perhaps your communication skills are at fault. While it may be tiring for you, people who are dealing with a lot of really difficult problems often need to vent some frustration and anger, both as stress relief and to qualify you (or not) as a sincere ally who won't fade when progress is difficult.
If you're in too much of a hurry to sell your solution, notwithstanding your good intentions, your interlocutors are likely to be a bit skeptical because they've heard many such presentations before only to be disappointed by the lack of follow-through.
Being right is not always as important as being receptive when you're trying to establish new structural relationships under difficult conditions, whatever those happen to be. I hope this can make your future communications more rewarding, even though it may require a greater initial investment of time and patience.