You should be looking at the z-offset, I’ve found it normally needs another 0.05/0.1mm after the levelling. I’ve never used the paper method on my V3SE, always used the autolevel. What I have found since I have upgraded to the microswiss flowtech is that the autolevel is all but spot on.
I am having the same issue even after autoleveling and modifying the z-offset a couple of different times (first adding 0.05, after that did not resolve it adding another 0.05 with no luck). An additional issue that I’ve noticed after the upgrade is it takes 10x - 15x longer for the actual printing process to begin.