No,
@SandboxGeneral, I suspect that it is a case of some degree of emotional blackmail. An implied, or possible, threat whereby the other person may well react with the response by saying, well, feel free to stop playing the video game but I will tell your kids some of the stuff you told me about yourself, if you choose to do that.
To the OP: Emotional blackmail is a horrid threat to hold over anyone. Is this an implied threat? An actual threat? Or, just one that you fear may occur as a possible worst consequence?
Either way, it does not reflect well on the nature of the relationship with your playing partner. And - if the threat of emotional blackmail, implied or articulated - is real, it may be time to pull the plug on that relationship.
Even if you acquiesce, the 'games' will not retain any degree of enjoyment, such was the cost of prolonging the experience. Moreover, any relationship negotiated under such circumstances cannot be healthy. And you will despise yourself - for giving in to the threat, just as you may fear the consequences, if you call the person's bluff.
The thing is, though, if you do acquiesce over this, it leaves the person who had wielded this threat with the knowledge that this tactic works, and they may seek to invoke it to involve you in other stuff.
Me, I'd call their bluff. Personally, I would far prefer to torpedo a relationship than be subject to emotional blackmail. As for the children, someday each and every child has to come to terms with the regrettable fact that their adored parent is not god.
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End it.
Nobody deserves that sort of stuff.
