Is the cooling capacity sufficient to cool an i5-13600kf?
Or are there better alternatives under 70mm height?

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Answer

Noctua recommends caution when using this cooler with processors above 100 W TDP:
https://noctua.at/pub/media/blfa_files/infosheet/noctua_nh_l9x65_datasheet_de_web.pdf
Your processor draws a maximum of 125 watts, so throttling could occur, especially if you are using a small case.
You may also find this video interesting:
https://www.youtube.com/watch?v=KGnJc5HuRC4

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Question about Noctua NH-L9x65

Is the cooling capacity sufficient to cool an i5-13600kf? Or are there better alternatives under 70mm height?