I know that we have been having trouble with Bismark lately. I think maybe it refuses to mark reads that start at the same position as proper pairs due to some bug. In this case, that means no reads that had adapters trimmed are marked as proper pairs. I'll suggest we try BSMAP instead; looks a lot better. What our methylation people are currently doing is trimming 2bp from the right end of all reads (with BBDuk, that's the "ftr2=2" flag) so that they will no longer fully overlap and Bismark will correctly mark them as proper pairs. But both the trough in your graph and the blue tail indicate incomplete adapter trimming, even if they pass FastQC. If all adapters were correctly trimmed, then I think (not sure) that Bismark would report zero pairs with inserts shorter than read length due to the bug. And the trough indicates that reads with only ~1-10bp of adapters or so are not getting trimmed; this may be too short to be detected by FastQC.
Also, the threads are much easier to navigate if you use "reply" for replies rather than "answer".