Contrail: Revisiting this Sudoku Variant Ruleset in this Stunning Puzzle!

Today's Puzzle:

I had promised you all to revisit the consecutive sums lines after feature a Winding Path. I'm sorry it took a month! The wait was certainly worthwhile though with a phenomenal puzzle to wrap up our weekend of difficult puzzles.

Link to Play Along:

Contrail by Arbitrary http://tinyurl.com/SudokuSleuthContrail

Rules:

Normal sudoku rules apply.

Kropki dots: Digits separated by dots are consecutive.

Consecutive Sum Lines: Within each 3x3 box, the sum of digits along a contiguous line segment is consecutive with the sum along the line segment in any box it directly connects to. If a line re-enters a box, each contiguous segment is a separate sum which may be different in value if permitted by other rules. For example, in box 8, the sum of [R7C4,R8C4] and the sum of [R7C5,R8C5] may be different but each sum differs from R6C5 by exactly 1. i.e. Lines behave like region sum lines but the sum increases or decreases by 1 whenever the line crosses into a box.