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The Parker Miracle

The puzzle title alludes to the infamous Parker Square of Numberphile fame. Quoting Brady Haran: "The Parker Square is a mascot for people who give it a go but ultimately fall short."

So, this is my Parker Square moment. I tried hard to create an empty grid miracle, but ultimately I was unable to get rid of that pesky little disambiguator.
It does have a nice logical solve path though. You will need to think carefully, but bifurcation is not required!

Anyhow, here are ze Rules:

• Normal 6x6 sudoku rules apply.
• Orthogonally adjacent digits must not sum to their box number(s). For example, r2c4 and r3c4 must not sum to 2 or 4.
• Additionally, diagonally adjacent digits within the same box must not sum to their box number.
• The inequality sign points to the lower digit.

Play on SudokuPad