gillian hasn’t said a word about peter, no. but actions speak louder than words. she’s been by his side at all the important events in his life since last october, she held hands with him and nuzzled his face at the golden globes. he was pictured in her hotel room, he attended her book talk in london, she rushed from her own film premiere to be with him at his bfi dinner. she doesn’t NEED to say anything because those actions say it all.

So first of all, it was not her hotel room. There was no holding hand and absolutely no nuzzle either. He attended her book event with someone else, and after she posed on the red carpet with him at the BFI (like all the other guests did), she doesn’t appear on any other pictures. Besides that, there’s no longer need to mention the look on her face on every picture we have seen.
See? It’s a matter of point of view. Which means there’s no irrefutable proof that would make me shut up about this for good. So until you can show me this proof, everything you say and think about Gillian and PM is speculation. It isn’t more or less valuable than any Gillovny speculation. It is just the same, with the little exception that there’s 25 years of Gillovny history and only a handful of events with Peter Morgan.
So ship them if you want to, but just be conscious that it is just a wishful ship, nothing more.