MarkB
Legend
Depends. I don't think letting physically strong players have attack bonuses is very fair, or small players having AC bonuses. Similarly, should scientific players get skill bonuses?
I mean, it's exactly the same as making a skill check in any game. It's just 4 checks instead. That question isn't particular to this. Does an outdoorsy D&D player's character have a better chance of tracking an orc than Stephen Hawking's D&D character? Do Penn and Teller's Pathfinder characters have a better chance of pickpocketing than others?
But when you're using it as a mechanic for general problem-solving, what you're basically doing is making the players' ability to come up with creative solutions irrelevant. You've already extended this to engineering and medicine - wouldn't it be equally applicable to tactics, or diplomacy, or exploration?
If you present your players with a poorly-fortified, undermanned village that's going to be attacked by an orc army in two days, would you really be just as happy if they sat there going through random tables and then said "okay, I'm going to <roll> fortify the <roll> south barracks with a <roll> platoon of <roll> light cavalry - that should sort it out" rather than actually engaging with the problem and thinking of ways to improve things?