Rem oil is a dry-type lube meaning that it more or less evaporates. Rem oil is better for fire control groups and tight places that don't get cleaned often because they don't come into direct contact with burning powder and direct residue.
I generally agree with the "wet" comment but that applies to the inside of the bolt carrier and the bolt. Between the two, Ballistol would be my choice for cleaning and lubricating the bolt carrier group but don't overdo it. The firing pin channel should not have standing oil in it and just the oil you transfer from your fingers to the pin should be sufficient. The firing pin should be completely free to bounce fore and aft without the hydraulic resistance that excess oil in the tube would cause.
Since this is your first AR, I'll mention the three silver-colored rings on the bolt. After cleaning, I use a high quality medium-weight grease on these. After staggering the spaces, just push it in around them. The spaces should also be staggered at 12, 4 and 8 o'clock or at 12, 6, and 12 o'clock. The rings/piston cylinder is a main friction point and oil readily blows right out of the bolt carrier interior during the first few shots.
Another reason to use a bit of oil on surfaces is to help prevent or lessen carbon buildup. Carbon is going to happen but if the surfaces are coated, the buildup isn't as bad and cleans off easier.
Get one of these:
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During cleaning, get surfaces wet with Ballistol or CLP and follow the included instructions on careful scraping of bolt tail, waist, lugs and firing pin. Don't use a lot of muscle, the surfaces conform exactly and scrapes without effort. The interior cylinder doesn't usually need anything but a wipeout if you use grease on the rings as mentioned previously. Be careful to not scratch the interior of the cylinder.
Good luck with your AR. After doing it a few times, you'll be able to clean the bolt carrier group, barrel and chamber in under 20 min.