You always want "active" fermentation, not one that just chuggs along slowly for weeks. But active does not mean the lid is blowing off and a blow off tube is necessary. The crazy fermentations that fill up the airlock are a result of several factors that are hard to quantify: Grain bill, gravity, yeast strain, yeast amount, yeast health, temperature, aeration, mash schedule.
In short, an active fermentation will have healthy yeast and ferment completely, giving cleaner beer with less chance of yeast derrived off-flavors.
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