Looking at your timegrapher results it shows a big improvement but things are not perfect. If it was me I would re-clean the balance and escape again and inspect for any loose pallet stones etc. The auto spring should slip but not until almost a full wind. If it does not have a full wind before slippage the watch will have very little power reserve. My method is to place three small amounts of lubrcant to the barrel wall.
I’ve gotten the best results from 3 small drops, 120 degrees apart. It will slip for a little while the grease spreads but I’ve found that to leave behind even less than a full thin layer. You don’t want a lot. A friend gifted me with some Rolex TEPA and that stuff is amazing for barrel walls so I just use that now.