why on earth would you NOT take notice of weather information passed by ATC?
Only time would be when its CAVOK for hundreds of miles with winds less than 10 knts and the controller is one of your mates and bored and then starts reading you out every sodding airport he can think of. Then demanding a read back of the QNH for every one usually after he has just read to you 5 of them and you haven't bothered writing any of them down.
And its not the done thing to tell him to sod off.
And Fuji personally I think the controller is wrong. what they are wanting to do is for you to be known traffic for there other stuff and not take the liability for a traffic service. If they refuse to give a traffic service bin them they are only talking to you for thier benefit not yours. Or as what one one ATCO pilot said to one service when they asked what thier operating level was "not above FL100" because he had zero interest in entering into any contract with them.