If your strength is low then its pretty easy to disarm your character
Let's look at that:
Block (A)
A character can add their Close Combat skill to a single Defense test in melee. The roll must happen in the same player turn in which the action is used.
Wrest (Block): When in melee combat, if you successfully Block an attack, you can use this action to wrest your opponent’s weapon away. Roll Close Combat + Agility, with the attacker’s Strength as the threshold. If you equal the threshold, you knock the weapon out of their hands, and it falls to the ground. If you get more hits, you take the weapon from them. If you get fewer hits, the attacker retains the weapon. Cost: 2 Edge
So, to pull this off against a player, an NPC has to:
1) be in close combat
2) have a Minor action to use
3) pull off a Block - an opposed test of player's Close Combat + Agility vs NPC's Close Combat + Agility + Reaction.
4) have two points of Edge to use
5) roll CC+Agility against a threshold of Strength
6) not have the PC win this roll via their own Edge
I don't think that's that easy to pull off.
I don't think grunt-level NPCs are often winning melee combat against PCs - which are the vast majority of NPCs my players fight. According to the stock goons, PR4 has a close combat dice pool of 7; PR5 is 6; PR6 is 12 (getting a bit more dangerous now). NPCs ain't gonna pull those rolls off very often. Sure, I can throw in the odd close-combat specialist once in a while to try and specifically target this weakness. But how often can I do that before it feels cheesy and cheap?
Also, 2 Edge is quite a lot. That's 2 Edge the NPCs could have been using to hurt the PCs.
Also also, so the PC is disarmed now. So...? All they have to do is spend a Major action pulling another weapon. That's not nothing but if you say to most players "would you rather be disarmed or hurt" they're not gonna pick "hurt" very often.
Also also also, I don't think increasing Strength from (say) 1 to 2 drastically shifts the odds on the chance of success on (5). So again, I question the value of boosting Strength to counter this tactic.