For me, my favorite thing to do with an archwing is to drop out in a railjack mission and do some dogfighting. I know that's kind of what the railjack is for, but the railjack feels better for dealing with crewships or moving the squad around the large maps. However, the archguns and archwing feel very underpowered in comparison to the railjack, making my favorite method for railjack missions much less viable than just staying on the railjack. But staying on the railjack is really only fun if you're piloting.
Additionally, archguns in general just feel very underpowered. Yes, we can equip them as a heavy weapon in regular missions, but I never see anyone do it because, well, it's a lot of work to get the gravimag, and quite frankly most of the people who would be able to grind their way to getting gravimags have regular primaries and secondaries that do more damage. I have one Archgun that kills ships in railjack and steel path enemies in a decent amount of time, and that's because it's a kuva weapon with a riven.
I think probably the best solution would be some more/better mods for archwing and Archgun, especially for archgun. While it would be cool to get an incarnon Archgun, I don't even think that that's really necessary (but it would be sick). Some galvanized mods and some faction damage mods for archgun (and archmelee) would go a long ways to making an Archgun feel more on-par with our primaries, rather than a downgrade. It would also make dogfighting in railjack a lot more fun and viable, allowing your squad to hop out, take care of away objectives, then hop back out to help clean up remaining fighters. I have always stated that the best part of Warframe is the movement, the quick nature of the gameplay. I think giving players the ability to go out and have movement unrestricted by a turret or the pilot of the ship would get a lot more people doing railjack and using/investing in archguns and archwings.
DE, please consider an archwings/Archgun rework or update. I mean, rework Inaros first. But after that, consider breathing some new life into these things.