One time I was flying LED/VIE/LHR with Austrian and the LED/VIE sector had been delayed resulting in a PDQ connection in VIE.
No sooner had I arrived in the VIE terminal than there were putting out final calls for the VIE/LHR sector and specifically announcing "Harry Wayfarers, you are delaying the flight" as if nobody had checked, or was interested, that my (their) flight inbound flight had been late.
These calls continued, I was a smoker at the time but was prepared to go without a cigarette to expedite my transfer, but they continually broadcast that it was I delaying their flight so I decided "F*** You" and I stopped via a smoking lounge for a much needed cigarette.
And "No", I didn't delay the flight!