True! The Kelvin movies never seemed to appreciate what the ship meant to the fans. What ticked me off is not once did we see any slow flyby beauty shots. At the opening of Beyond they could have at least showed a throwback classic shot of her in orbit around Taxnia (spelling?) instead of the camera zooming in at an upside down angle of her doing what's like a barrel roll.Absolutely the Enterprise is a character, and a big draw.
The reboot movies may have treated the Enterprise with all the respect of a company hire car, but it’s Icon enough to build a show around.