British Airways is not a partner airline and never has been in the way that easyJet and Thomas Cook etc are. Neither is the CTC Wings scheme a BA Cadet program. Cadets may choose to apply to BA for entry as Self Sponsored Pilots (SSPs) at the end of training, subject to having acheived certain criteria throughout the course. It is not an airline placement in the same way as the easyJet one. Cadets are employed by BA from Day 1 of their induction, and paid as such on the SSP payscale. The training bond is retained by CTC/APL - in effect the cadet has paid for his/her own training much like if they had gone to OAA/FTE/Cabair etc.
You will not find any link to a BA cadet scheme on their website because there isn't one. Neither is there likely to be, certainly in the short to medium term.