First thing's first: I am assuming a properly functioning electrical system, good alternator, good battery, good cables, good connections, etc... AND the vehicle running...
I believe the stock Nippondenso alternator is an 80amp unit. Your vehicle's electrical load determines if this is sufficient. Obviously it is sufficient for a stock vehicle. If you use a lot of aftermarket add-on's (such as driving/fog lamps, backup lamps, electric winch, stereo amplifiers, air compressor, electric fans, electric trailer brakes, etc., etc.) this could cause your electrical load to be more amps than the alternator puts out. This is normally for very short periods of time, and your battery will be used to supply the additional current. If this load is extended for a longer period of time (such as extensive use of a winch), repeated frequently (bass beat hitting on a big stereo), or many items used at once, it could begin to seriously drain your battery. Voltage will begin to drop, headlights will begin to dim, etc. Your alternator is not keeping up. This is a definite reason to get a H.O. alternator. (reference first statement of post)
Some batteries can utilize the higher current of a high output alternator to recharge faster.
This is from the Optima Red Top spec sheet:
Rapid Recharge:
Maximum voltage 15.6 volts (regulated). Maximum current: No limit as long as temperature < 125°F (51.7°C).
If you have additional loads on your electrical system, a high output alternator is a common item these days. There are many sources for these. The one you linked to is over $100 more than the 150 amp I was quoted by Alterstart Systems (no connection to me). Many local rebuild shops can re-work an alternator to raise output amperage. You can even get them at slightly higher output voltage, but this can become risky on the electronics. Big car stereos have made these mainstream items.
