I wouldn't over think it too much. If you don't molest the rootball, it won't be stressed much. When done right you are merely gently placing it in a pot and gently covering it with more substrate. Really shouldn't cause and damage or shock to the plant if you stick to that. I water after a transplant, so i'd rather do it during the light hours. I don't want recently soaking wet pot "chilling like a villain" all night.
I would take note of the plant and adjust your methods next time. This plant needs/needed more nitrogen at an earlier point. When those cotyledons start to pale, If that is soil, it did not come with much of a nutrient charge.
Use more perlite or similar - vermiculite #3 is better because it adds some available Si. In a high water capacity substrate you want 50% of volume to be drainage amendment like perlite etc. In coco you only need 33% because it holds 2/3rds the water per volume.
watering habits look off. That soil doesn't look wet and the plant is droopy.
1) always water entire pot. A little runoff ensures this is accomplished. In soilless you get 10% or more runoff.
2) wait for top layer to dry - again this depends on teh substrate itself. with a soil-like water capacity, you wait for top 1" to dry. in something like coco you wait for the top layer to change color and that's usually good enough. avoid wilt and you are fine.
don't half ass it. don't have some pre-choosen volume of water you want to give. It takes as much as needed to accomplish the task and not an an fl oz less. you can learn this volume in hindsight if you are consistent with dryback before re-irrigating.