TXBufferWriteCycle messages are defintitely a FaxServe message. They are a warning that the comm port the modem is attached too did not accept data fast enough for FaxServe's liking. This is why they want at least a 16550afn UART on the COMM port, a dedicated serial board (like the rocket port), or a fax board (Brooktrout, netSatisfaxtion, etc)
The number reported with the error is milliseconds; several years ago I had tech tell me that anything uner 1000 was no big deal, anything over 2000 meant there were probably gaps in your sent faxes. Numbe inbetween it was a crap shoot, at best. FWIW, we used 3 modem on a Rocket Port board, and regularly got this message with values in the 1200-1400 range, and no noticable problems with the sent faxes.