From reviews I've seen, the Note 10 screen is brighter than the S10e, Tom's Guide has the S10e max brightness rated at 603 nits, and the Note 10s at 674 nits (the Note 10 Plus was measured at 686 nits).
What it seems like you might not care for, the Note 10 (and Plus) have higher color accuracy -- using Tom's Guide again, they measured the color accuracy of the Note 10 at 0.25 and the S10e at 0.57 (lower numbers are better). My guess is that you like the "punchier" colors of the S10e screen -- and you can get a similar looking screen on the Note 10 by going into Settings>Display>Screen Mode and changing it from "Natural" to "Vivid."