It's a good question, but I feel it's not a question that can be summed up with yes or no.
These days, Halo means different things to different people. For me, it's the games. I absolutely love Halo CE, 2, 3, ODST and Reach. I will never get tired of playing them and they hold some of my best gaming memories. Nothing's likely to change that.
If anyone asked me if I like Halo, I would say yes and talk about those games.
But then along comes 343 and their first Halo game. I did not like Halo 4, it has very few redeeming features for me. The campaign made me not care about anyone, even making me lose interest in Cortana and Chief as characters. The soundtrack was underwhelming, the enemies were boring and the missions were not enjoyable. The multiplayer did little better, with many of their small changes changing the classic Halo gameplay in a noticeable way that I just didn't feel like I was playing Halo anymore.
Halo 5 was the first Xbone only title and I had no Xbone. I looked up the story anyways. Their advertising had got me interested, the actual story left me severely underwhelmed. They built up something they did nothing to deliver that you could nearly call false advertising at the extreme. I had many chances to play Halo 5, but I had no interest to and I don't think I will.
So if anyone asked me if I still liked Halo, I would say no and talk about those games.
Then we get to Halo Wars. It's an interesting one. Halo wars was a new take on Halo games, with a different gameplay genre and different dev team behind it. It was Halo, but it was going to do it's own thing. I like Halo Wars. I mean, I still think the actual gameplay is flawed, broken and just downright bad as an RTS, but I still have fun every time I play it. I like the characters, the story, the setting and the soundtrack. It was far different than what had come before, yet it can still stand up tall and call itself Halo and it would have a far better claim than 343's two entries into the setting.
HW is a game that shows there's potential for expansion in the Halo universe. There's still so much that could be done. Halo Wars 2 is going to decide for me if Halo is a name worth sticking around for, or abandoning all together and leaving with only the treasures of the past to enjoy.
I like what Halo was.
I dislike what Halo is.
I like what Halo can become.