One thing about the "weakling paladin's" ... it's perfectly ok for them to be beating up the baddies with a melee weapon the entire fight ... except when it's with an OA? A rogue is able to wield a rapier or dagger as if he had weapon finesse most of the time ... unless he tries to hit the guy that is passing by?
Now for some [using it with a wizard or warlock, for example] it's going to be a bit weird. However, for the people most likely to be using it ... it allows them to use the same stat they use for every other melee attack when they charge, make an OA, etc. Rogue's with DEX, Paladins with CHA, Avengers with WIS, Swordmages with INT ... they all have melee weapon powers that don't use STR ... is it that far fetched for them to apply the same skills that allow them to do so many non-STR based melee attacks to make OAs, charges, and help out the warlord?
Ultimately, they still miss out in other areas. The biggest is that ... weapon feats ultimately rely on STR. There are a few that don't, but it's mostly STR and another stat, especially the epic tier. There is also grabbing and bull rushing, which now have feats to make them viable options. STR is also tied to Athletics which, unlike most skills, is one that everyone in the party may require (climbing, escaping grabs, etc).
Not to mention, that wizards and warlocks, etc ... would have to invest in magical weapons in addition to their implements (although their are options like pact blades ... which until now were a bit odd as there were pretty few uses for them as the class didn't really lend itself to having stats that would have allowed them to attack with it, if anything it was for charismatic rogues that multiclassed into warlock) and even then, they begin with little in the way of weapon proficiencies, and will either give up more useful properties of their implements, or dual wield weapon with implement, therefore avoiding two handed weapons, weilding two weapons, or having a weapon and shield.
Each stat matters, however they have made it so that less and less is there a single stat that always matters more than the rest.
EDIT: Oops ... didn't see the fork request.