The poor Hawks (and Hawks) were slow-withering casualties of Crisis on Infinite Earths, as so many characters were.
It won't be long before they've been estranged longer than they were married and they were once as reliable a couple as Clark Kent and Lois Lane or Barry Allen and Iris Allen. When I was growing up it would have been heresy to see Hawkgirl dating a Green Lantern on a cartoon.
I liked it better when they were separate entities too and I also have a preference for the Hol's. But I liked it when the JSA was on Earth-Two and came to visit the Justice League once a year too.
Here's maybe a controversial opinion:
Crisis on Infinite Earths, while being the most exciting event published to date in 1985, had the ultimate effect of absolutely ruining DC Comics in a way from which they've constantly tried but never recovered. It's hard to really see it since the years that directly followed CoIE were maybe the best years for DC ever but the fallout -- mainly as represented by the rewriting of history to move the JSA and JLA to the same earth -- was extremely unfortunate. And by letting it stand (and not taking Marv Wolfman's alleged escape route) DC put itself on a path where it would continue to reboot (large and small ones) about every five years forever. That didn't used to happen before the '85 Crisis.