Sure. I'll agree based on the criteria you set in the OP...Can we basically agree that Fender, Gibson, and Martin are the "big 3" when it comes to iconic, long established, and hugely popular guitar brands?
But your post and the title communicate very different things IMO.
Holy Trinity? Heck no.
If YOUR holy trinity is having a Gibson, Martin, and a Fender... Then fine. But when I was shopping for an acoustic a few years back, I played just about every Taylor and Martin under the sun, but the guitar I was most impressed by? Larrivee. I've had my OM-03RE for 6 years, and it's incredible.
When I was shopping for a Tele a few years ago I heard and saw a buddy of mine playing what looked like a Tele, but had "G&L ASAT" on the headstock - sounded better than any Fender I've ever heard... Bought one and haven't looked back. Same story when I was looking for a Strat - my Legacy is probably the best guitar I've ever played.
I do love my Gibson LP Standard though.