Somewhat more Typical

10 5
A Q 7 6
K Q 6 4 3
7 3
Q J 8 3 A 9 2
K 10 8 4 J 9 5 3
9 8 7 A 10 5
9 6 J 5 4
K 7 6 4
2
J 2
A K Q 10 8 2

WestNorthEastSouth
1 Pass 2
Pass 2 Pass 2
Pass 3 NT Pass 4
All pass

This is probably a more typical situation than the last example, where a pair is wrongly in a minor: a good solid suit which one bidder thinks would do better as trump than as one of four suits in no trump. But your thinking ought to go in this direction: with a solid six-card suit, we only need to pick up three tricks in other suits for game in no trump -- provided we're not open to 5 tricks by the opposition first. But in clubs, we'll need five tricks outside of trump. Do we have them? Or is there any likelihood we can increase club winners by ruffing in the short hand? Do I have any reason to suppose we're wide open to five losers in no trump? Particularly if I can pick up 5 outside winners in a club contract? (This club bidder's partner did bid no trump, so it wasn't that South was called on to make a positive decision for no trump with a couple of "wide open" suits in his own hand, but to have some trust in his partner's decision.)
Here, South played it safe in four clubs, even over a no trump game bid, and wound up in a neither fish-nor-fowl contract. That's a no-no in my book. If your partner is ready for 3 no, you oughtta have a very good reason for taking her out, and then think seriously of a game bid of your own. Since this bidding doesn't indicate that you're wide open in any suit, it was a poor idea for South to take his partner out.
For the record, the great majority of bidders were in no trump here. Most were making overtricks. Some were making just 9 tricks, tying those club game bidders who made 11. Both contracts would seem to fall into your lap if you can place the cards where you want and need them to be. Well, I think a heart opening lead can give you trouble in 5 clubs, since you now won't have an entry to the third round of diamonds. On the other hand, a savvy declarer, recognizing this, might take the heart finesse and make! Who knows?
In no trump, played from the North hand, East can give declarer the most trouble by underleading the ace of spades twice. You duck to ensure you aren't looking at 4 quick spade tricks going to those other guys. A heart comes back? You'd better take the finesse. If it loses, you wouldn't duck a second round of spades. Something's gotta go right. But it wins, you knock out the ace of diamonds and duck a second underlead of the ace of spades, and now no lead can prevent you from 9 tricks. And that's at best defense, which not all that many got.
So . . . you'll want to give serious consideration to a no trump game even with a healthy minor suit. I do offer one qualification: when you have a healthy minor-suit fit -- say 5-5, maybe 6-4 -- and you're looking at singletons, though of course you can't know your partner has any, the minor suit will probably work better. If you've the tickets for 3 no, you probably have the tickets for slam in the minor, and if you don't have the tickets for 3 no, you still might have a minor suit game.
I have seen any number of minor-suit slams missed in a rush to 3 no, not too rarely with neither partner bidding a 5-card club suit as a healthy 5-card suit (i.e., a one club opening only promises 3 clubs). It's tricky to sort out the fits and the singletons, to be sure, but you want to give consideration to your singleton and the fit (if you find it) on the path to 3 no.
Aside from that qualification, however, I'd be in 3 no even on a minor suit fit if the point count is right or my partner initiates a positive no trump bid. Only if it's obvious that neither of us can stop the opponents' announced suit would I settle for the minor suit contract.