In the first image you can see some choppy movement; I can’t say the link worked.
In the second image, you can clearly see the link kick in. I’ve looked at quite a few of these charts already. I conclude that if the chart doesn’t show an obvious increase and position consolidation, then it might not be the link working, but simply random rank fluctuations for the site.
By the way, the second image shows a Web Archive PBN. If anyone doubts restoring websites from Web Archive…