I've never used Campsuds so I can't help you with that unfortunately. They're pretty cheap, lightweight and I would suggest you pick up a packet to test out for yourself on your next trip if you're interested.

I used them on my last trip. I ended up using about 6 sheets per sinkful so you may not get a full 10 loads out of a packet. But I would expect that if you were doing laundry every night for a week you'll have more than enough. One hint is to make sure your hands are dry when you handle them. You don't want to wet the rest of the sheets. I found they do about as good a job as a packet of Woolite would have done.

My sink laundry is generally not severely soiled, if it is I will rinse any large particles out before dumping the item into the sink so the cleaning agent can just work the sweat and other nastiness out of the item.