no, normally your training pipeline wouldn't involve running bittorrent

If the training set contained BitTorrent magnet links to the desired information (e.g. images whose pixels are to be trained on, then, yes, it would have to.

Upthread it was mentioned that the training data representation contained links to material; magnet links were mentioned in passing as an example of something supposedly not violating copyright. It wasn't stated that training data contained magnet links. (Did it?)