The chain being off by 3 links would cause all sorts of problems. I don't know enough about the engine to be able to say it would definitely prevent it from entering lift, but at the very least it might rob so much power you would be unable to reach the magic 6K rpm to enter lift. Here's an ecelica link for some engine info:https://www.celicahobby.com/tech/engine.html
Note the "valve opening" and "valve closing" angle ranges for both normal and "high speed" Intake
valves. The variable valve timing arrangement picks a setting somewhere in the range given to optimize power output vs. fuel economy (higher rpms = less economy and more power). With the cam alignment off, the engine isn't selecting the correct setting anymore, i.e. the actual setting used is biased by whatever angle difference the 3-link error introduced. Its guaranteed that HP output would be way down as a result. It could easily cut off lift from kicking in, but I just can't tell you for sure that's what happens.
Maybe someone thats worked on GTS engines can help. Anybody?