You mentioned the dehorning paste. This is kind of gross, but I gotta mention it.

My dad bought some when I was a kid but we never used it. About 15 years ago, in an attempt to remove some warts, I found the old unused dehorning paste. I had a wart on one finger and a plantar wart. I put a circle of vaseline around each wart and put a drop of dehorning paste on each wart. I waited for about 10 minutes or so, until I absolutely couln't stand the pain any longer and washed it off. Both warts were red and there was a faint red line around each wart. It was clear the the skin had separated from the warts.

The skin around the warts was puffed up and I squeezed the one on my finger like a big zit. The whole wart was about the size of a BB and it popped right out of the hole. The one on my foot did the same thing. I haven't had a wart on my finger since then. It left a small scar when it healed up.