Eh gonna disagree here. Every fire emblem pretty much has flaws usually to rushed Dev time.
I think Awakening is the better game and Feth is the better story, experience.
I also think feth is a pretty bad intro to fire emblem as it's very very different to past fire emblems (to be fair I love the fact that it's very different but at the same time there's a lot of comforts in feth that you won't get in previous games).
Personally a broken pairing system, shaky maps (and story especially) the later you get into the game, terrible lunatic mode, and horrible balancing in both units and skills don't really do it for me in terms of arguing for it as the better game, but ofc enjoyment is in the eyes of the player. I can point to every fire emblem game and point out their glaring flaws that could've been fixed with even half a year's worth of extra time. Rushed dev time isn't really an excuse.
I do agree that Awakening can be a great entry point in the same way FE7 does. Both games are very good at masking their biggest issues until you really start diving into deeper into the mechanics and doing a deeper dive on the story/characters as well. It's very enjoyable on the surface, especially for a first playthrough, and there's a lot of merit in that for a lot of people. There's a big reason why Awakening blew up the way it did, despite it being one of the weakest entries imo and I definitely respect it for that.
That being said, I think 3H is a good entry point as well as either way you're gonna have to give up on some major QoL if you plan on going backwards anyway. But if you plan to eventually dig into the jugdral games, you'll actually see that they're more similar than you think.