The more I look at this the more I can't figure out how you jumped to that conclusion after reading what I wrote.
Not sure what conclusion I'm suppoed to have jumped to. I'm talking about "I think it is unlikely that you started replying before my update was posted".
If I were to rewrite what I said using your words, it would be
I didn't start replying before your update was posted. What an odd thing to claim, since no one would gain from that. The delay was surely due to taking the time to verify that your solution didn't work before posting.
Next time you think that, maybe you should delay replying to give your mind time to reflect and then re-read and see if your interpretation changes or your understanding improves.
I still can't find any other meaning for "I think it is unlikely that you started replying before my update was posted". Maybe you didn't understand me when I said I did start replying before your update was posted and I find it odd that you think I didn't.