Well, I don’t want to start an argument (and will ignore anyone who does) but I’ve encountered a number of people here who insist that animals don’t/can’t go to Heaven...
I prefer to think that Heaven contains everything good and loving and pure, and everything like that belongs there.

I would agree with you. If heaven contains everything good, everything our hearts could desire, all the love we have known and the presence of those who have loved us; would there be a huge hole there if our closest companions were excluded?
To paraphrase from that show, “If my dog ain’t welcome, then I suppose I will just find somewhere else”.