All of the above is all good and well and very true.. However i have often thought about it when at MTOW in the take off roll and approaching Blue line and you lose an engine on the RWY sometimes i think it MIGHT actually be better to continue ...IF... and only IF you cant brake and miss that tree or run into a creek bed while trying to brake doing 80 or 90 kts with 700 litres of AVGAS
Food for thought anyway...