It's definitely not going to happen, at least, not in the core rules. 5E is all about making things more streamlined for players to facilitate roleplaying rather than specific combat strategy. I like the idea in theory (although darts should never be able to do as much as a longsword in any situation), but in play it's just cumbersome. You have to look up multiple charts for each weapon type vs each armor type, you have to remember the speed for each weapon, then if your class gives you abilities for each one you have to remember those and apply them. The complexity starts to add up, and I can easily see that alienating a lot of people that would like to play.
1st ed: "Ok, I'm using my short sword, what do I need to roll to hit?" "Well let's look, he's wearing this type of armor, crossed with this type of weapon, now we have to look up the chart for his AC by class, do some mental footwork because AC is backwards, ok you need a 12 to hit."
5th ed: "Ok, I'm using my short sword, what do I need to roll to hit?" "What's your attack bonus?" "+3" "You need a 12."
It's a bit hyperbole, yes, but one gets you to the same result much more quickly, and the story and play can move forward immediately.