Um. Okay. Well lets take this one step at a time....
1 Gallon? So, are you removing 25% of the motor oil, or adding 25% extra fluid? Because you hold about 4 gal of oil. A gallon is WAY too much.
Part two. Any Lucas Oil Stabilizer is too much. Its not good stuff. Reason number one is its weight. I cant recall what the weight is, but it was tested by an independent laboratory and it has some CRAZY high oil weight (which you can tell just by pouring it), which is NOT good for our high pressure oil pumps. Reason number two is, IT FOAMS LIKE CRAZY. When the fluid is agitated, like when you put it in our HPOP, it foams. What is foam? Air. What happens when pressure (like in a pump, like your HPOP) creates pressure on an air bubble? It implodes. What does an imploding bubble on a surface cause? Cavitation. Ergo, bad juju.
Use a good quality oil. That is all you need. If you are burning oil, no additive will save you. You have something else going on. Think about it, would say that ibuprofen cures a broken arm? No. But it might cover up some pain..
I could teach you more than you ever wanted to know about oil. Trust me, just use a good oil.
Check this out, it demonstrates the foaming:
http://web.archive.org/web/20100926133335/http://www.bobistheoilguy.com/images/lucas/lucas.htm