Diagnose "no frame!" error of fragmented MP4

Question

IMHO, MP4 (ISO/IEC 14496-12) is quite complicated. This question is meant for those familiar with ins and outs of MP4, so I try to be brief. Otherwise, this question could be a long essay.

I am trying to create fMP4 with C# (the language is not relevant here). The created fMP4 file does not play. Using the tool ffprobe to check the file generates the following:

ffprobe  "foo.mp4"
[h264 @ 0000021625d10e40] no frame!
Input #0, mov,mp4,m4a,3gp,3g2,mj2, from 'foo.mp4':
  Metadata:
    major_brand     : mp42
    minor_version   : 0
    compatible_brands: avc1mp42isomiso6
    creation_time   : 2022-09-11T00:24:35.000000Z
  Duration: 00:00:10.06, start: 0.000000, bitrate: 2078 kb/s
  Stream #0:0(eng): Video: h264 (Main) (avc1 / 0x31637661), yuv420p(tv, bt709), 1280x800 [SAR 1:1 DAR 8:5], 2077 kb/s, 12.22 fps, 30 tbr, 1000k tbn, 2000k tbc (default)
    Metadata:
      creation_time   : 2022-09-11T00:24:35.000000Z
      handler_name    : Media Handler
      vendor_id       : [0][0][0][0]
      encoder         : AVC Coding

Please note the error:

[h264 @ 0000021625d10e40] no frame!

When I use:

 ffprobe -show_frames "foo.mp4"

It shows hundreds of frames of this small MP4 file that seem flawless. I cannot paste them here there are thousands of lines. However, ffprobe shows two errors at the start:

[h264 @ 000001b015110ec0] no frame!
[h264 @ 000001b01545e7c0] no frame!

Please note these two "no frame!" errors generated by ffprobe -show_frames are different from the first one by ffprobe without the -show_frames option.

I wonder if anyone could offer a tip about what these "no frame!" errors mean and where I should chase the culprit.

The following is what Mp4 Explorer shows:

Update 2022-09-17 Here is an fMP4 file: example.mp4. Every video player seems to be able to play it except for VLC Player. VLC Player is an important player. I would love to make it work for it. Could anyone offer a clue about why VLC Player does not like it?