Second assertion is incorrect. Most Fantasy Heroes DO NOT rely on magical items.
Heck, I'm just going to turn around. Let's see...
Dresden Files? Dresden does not RELY on magical items. He has them, many he made himself, but he can do magic without them.
Kim Harrison Hollows series, Rachel Morgan does not rely on magical items.
Ilona Andrews Kate Daniels series, Kate Daniels absolutely does not rely on magical items
Patricia Briggs Mercy Thompson Series? Mercy does not rely on magical items
Codex of Alera? No one there relies on magical items (don't even know if they HAVE any)
Mistborn/Alloy of Law? No one relies on magical items (though magic is fueled by eating and burning metal)
Stormlight Archive? Okay, some people rely on magical items... but it turns out those magical swords are actually the corpses of REAL magical forces, and poor shadows of a better way.
Threadbare? No reliance on magical items
Beesong Chronicles? no Reliance on Magical items
HunterxHunter? No Reliance on Magical items
Gunnerkrigg Court? No Reliance on magical items.
One Piece? No reliance on magical items.
Girl Genius? Eh, steampunk fantasy, so everything is SCIENCE! even the supposedly magical stuff.
Seriously, I might struggle to find a single fantasy series in my entire house where the heroes RELY on magical items, and the very few I might be able to think of likely have a third act triumph of revealing the hero didn't truly need the magical items.
I have no problem getting magical items, they are part of the game and a fun part of the game. The problem is relying on them to be a cool hero. The problem is "You need magical gear to matter". Because that goes against every single fantasy story I love.