There are various types of mounts so how tighten to gun and the scope within the mount can vary. I would make sure the mounts are tight to the gun. I would then slightly loosen the scope and then retighten. Make sure the cross hairs are level. The air gaps should be the same on each half of the mount. Small details, likely not the issue here, but since are having issues I would take the extra few minutes to make sure the mounts and scope are locked down tight. A small chance something inside the scope has worked loose and that is not something you can fix.
I had a rifle that would walk shots with a warm barrel a few inches left to right at 200 yards. I thought was the barrel. I changed out the scope for another reason and the issue went away. I shoot factory ammunition but before and during the scope swap was the same brand and weight. I do think the scope or the mounts were the issue. I did not have this issue with two other rifles I shoot so was not leaning towards me being the issue. Maybe was.
The lead sled is nice though, for me, makes it difficult to get the cheek and eye in a natural position. Perhaps if you have to alter the natural alignment as you prepare to shoot from the sled then that is an issue to consider. I also make sure the barrel is not resting on the lead sled support and the rifle is not tilted to side as shoot.