I guess it would depend on the actual voltage output of the generic transformer. A "nominal" 12V rated output might be higher or lower than a purpose-designed battery charger, which needs to put out something over 13V to actually charge a 12V battery (as one of the linked articles above pointed out). Measuring the no-load output of the generic transformer might not tell you the real story, so your best bet is to hook it to your fully-charged battery, which should be reading about 12.4 volts +/- at rest, and see if it raises the voltage a bit. If it does, it oughta "trickle" just fine. Watch it to make sure it doesn't overcharge....as you probably know, the more sophisiticated battery tender-type units go into a "float mode" which drops the voltage down to a point that prevents overcharging.