An ILF is about the only bow on which you can adjust the tiller. Well, you can also shim bolt on limbs, I suppose. Most bowyers tiller their bows about 1/8 to 1/4 inch positive. If you ask for a 3-under tiller, they'll usually go with even tiller, maybe even negative tiller.
Regardless, my experience is the same as Tippit's and MP's. I have bows with each, and can shoot any of them three under or split. I generally shoot split finger with my nock set at about a half-inch. However, I can shoot the same bows three under with the same nock point and get good arrow flight. By raising the nock 1/8 inch to 5/8 inches, I quiet it for 3 under shooting and I can still shoot it split. Get good arrow flight with either, though 3 under is noisier.
Now I pretty much shoot three under at close shots of 20 yards and under (which pretty much enables barrel sighting) and switch to split for longer shots (with the same bow and nock point height). Works for me.
In considering 3 under vs split finger, it's also wise to determine how high above the center of the bow the arrow rest is positioned. A good number of bowyers position the arrow shelf 1 1/4 inches above the center of the bow. Just as many position it 2 inches above the center of the bow. (I've been taking this measurement on bows for more than 30 years.)
My three shooting fingers span about 2 1/8 inches. So on a bow with the arrow shelf 1 1/4 above the center of the bow, plus my 1/2-inch nock height minus the thickness of the nock, say 1/4 inch, my lower finger will be on the string about 5/8 inch below the center of the bow, placing my middle finger on the string just about in the center of the bow. If the bow shelf is 2 inches above the center of the bow, my lower finger is about 1/8-inch above the center of the bow.
Now, if I switch to split, my two lower fingers are about 1 1/2 inches across so on a bow on which the riser is 1 1/4 inches above the center of the bow, the bottom of my lower finger will be on the string right at the center of the bow. With an arrow shelf 2 inches above center, the bottom of my lower finger will be on the string 3/4 inches above the center of the bow.
I point this out only to demonstrate that where the arrow shelf is cut determines where we place our fingers in relation to the center of the bow, which in turn impacts the vertical torque on the limbs and how we adjust to it by adjusting the tiller (on an ILF) or the nock point.
I should note, too, that my records show that most bowyers who cut the arrow shelf 2 inches above the center of the bow, which makes for equal length limbs, tend to make the bows equal our neutral tiller, whereas most who cut the shelf 1 1/4-inch above center, in which the top limb is longer than the lower limb, give their bows a positive tiller.
I haven't really determined which works best. One would think the 3 under hold on a bow cut 1 1/4 inches above center, which centers the three fingers on the string at the center of the bow, would be best, but I'm not sure that's the case. For me, 3 under seems to work best on bows cut 2 inches above center. Go figure.