You probably have a huge sized phone in your pocket right now. They did that first while everyone laughed at them and even made commercials mocking them. Now everyone else cant get these phablets on the market fast enough.
Same for OLED displays. Everyone is rushing to implement them on their flagships now, and Samsung was first.
They were also one of the firsts along with HTC pushing for Higher resolution displays while others were telling you that your eyes couldnt see anything beyond a retina display anyway. Now everyones switched from 4:3 ratios and is running higher resolution displays on their high end flagship models.
Curved displays, folding displays, stylus uses for phones... All of that stuff they were doing it first...
So yeah. They can have that claim because its true. Everyone pretends like that stuff doesn't matter once everyone adopts it, but there was a first large phone with a curved display, stylus and OLED screen options and displays with higher resolutions with NFC compatibility and VR support. Its only "normal" now because others came around and adopted it.