Blunt truth. Tilt uses magnetic direction.
I recently needed to stake a corner, (search for old R/R spike) in, on, near a cattle guard. The Left-Right, Foreward-Back was useless. Strictly use CTT, and DTT. Because the cattle guard threw the compass off too much. So, since my H/T (Height of Target), all the way down is 5.1', I just use 5' offset, measured with my prism pole. I don't use the tilt feature. Because where I NEED it, is in a fence. Usually, there is a fence brace there, made from lots of wire, or a big metal pipe.
I will share a trick.
You have a monument under a fence brace. Set your pole plumb, but not on the monument. Then measure to the monument, near the ground. Then, stand up, and measure to a point on the fence brace. Check direction. Then, remove the LS from the pole, and place it manually, on the temporary mark, an the cross member.
Now you have it pretty good.