A round-up of the Spanish side of the gossip then....
Perez is trying to get him to renew, financially they're sure they can find a deal that will encourage him to renew. Perez is trying to campaign (club elections this summer) off the back of a renewal, right down to telling one of the big supporter's club meetings, that basically, don't worry, it's in the bag - we'll give him the money and a deal will be done.
Ronaldo, for whatever reason, and it's probably more to do with trophies and status than cash, is not pleased to be taken for granted.
My guess is that he (or Mendes) want Madrid to know that they aren't his only prospective employers. So, the suggestion goes, if it's for money PSG or someone will deliver, if it's for love it'll be United - which means that Madrid had better combine money and love into one big trophy winning (non Benitez managed) super deal.
Because yes, by all accounts including his own, he is stubborn. Stubborn enough to risk sitting out a two year contract and cashing in on a free transfer for his last big contract.