The below shows how the chronologies are different even between two of the Gospels. Seeing this difference (some may say contradiction) shows that the writers weren’t as concerned with timing but were more intent on getting the facts in their books.
Mark
Calling the Disciples (1:16-20)
Intro to ministry in Capernaum (1:21-22)
Casting out a demon (1:23-28)
Healing Simon’s mother-in-law (1:29-31)
Healing multitudes (1:32-34)
Trying to visit other cities (1:35-39)
Cleansing the leper (1:40-45)
Luke
Intro to ministry in Capernaum (4:31-32)
Casting out a demon (4:33-37)
Healing Simon’s mother-in-law (4:38-39)
Healing multitudes (4:40-41)
Trying to visit other cities (4:42-44)
Calling the Disciples (5:1-11)
Cleansing the leper (5:12-16)
Above we have the same 7 events, yet the calling of the disciples is in two different spots. The facts are there, but the timing isn’t important. If it were, then the Holy Spirit would have corrected them. There are other instances of differing orders of events, but this was one of the clearer examples.
The above is based on an excerpt from Appendix D in an essay on “The Problem of Apparent Chronological Contradictions in the Synoptics”. https://www.xenos.org/essays/problem-apparent-chronological-contradictions-synoptics
153 Fish 
I think we expect each Gospel to be in chronological order because we are used to that in our culture. I used to just assume each was in chronological order, not because I had any information that they were but because that’s the way it works here – newspaper articles, fiction, nonfiction, essays and papers that we wrote in school, etc. As you say, it isn’t the order that’s important, but the content.
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Getting the chronology right was a hard thing for me because of the inconsistencies between varying harmonies and chronologies that I searched. Once I saw that even Mark and Luke had differing chronologies I was able to get over that hurdle.
One of my encounters is usually split into two in most commentaries, but there were too many similarities to separate them. This actually happens a few times and will be discussed in detail as they are revealed.
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