Yeah, not sure if it's worth changing, but if DnD were a new game, armour would reduce damage, not make you harder to hit. Dex already helps with Armor class, unless you are wearing the heavier stuff. Not sure that damage reduction is that big a problem. Barbarians do it with no armour at all...
I don't believe heavy armour was so encumbering, warriors couldn't stand up without assistance. I don't believe anyone would want to crawl through caverns and dodge pit traps in the stuff, though. Soldiers donned armour before a pitched battle, they didn't wear it all day, every day...But anyway, let's not argue about that and derail thread again.
Armour is kind of "painted" on in DnD, anyway, so maybe game should go more abstract. Each class gets a different armour class bonus (skip damage resistance altogether), and players can decide where it's coming from. Knight in shining armour, or battered leather, but I dodge really well, or I'm so cool, I just glide out of the way. Could do the same with weapons. Each class would do certain dice of damage, no matter what they are wielding. Fluff would be up to you. Course weapons wouldn't have special qualities anymore, but 5e is pulling away from that anyway.
These are just random thoughts, so don't want anyone jumping down my throat, especially since I'm not sure they are good ideas anyway.
This is a thread about ideas and what-ifs. Sorry if it sounded like I was jumping down your throat.

I think one of the problems you will always have with any kind of game design is you can't please everyone. Personally, I find reducing damage annoying other people don't.
If you could come up with a truly modular system - plugging in pieces you like, swapping out some things for others - that would be cool. But added flexibility always adds extra complexity and one of the nice things about 5E is how easy it is to grok.