I must put emphasis to the lasts points... Maybe that could be the thing that Kishi uses to tell the people that Sakura surpassed her master... Sage Mode + Mitotic Regeneration.Chatte. You accepted that Kishi is using the Neo-Sannin parallel, if I am correct, Sakura is using Katsuyu's remote healing in those panels you provided. A move that Tsunade uses.
If I am right, Tsunade is med-nin and has the Byakugo seal and can release the seal and use instantaneous re-generation (No Sage mode). Now if we apply this, together with the Neo-Sannin parallel, then its safe to assume that Sakura is not getting sage mode, she might get instantaneous regeneration. (Might being the operative word)
Sage mode? I don't think so, but then again this is Kishi we are talking about. Shit happens unexpectedly