At last airline, a freelance sim instructor mentioned two trends amongst Airbus operators. Increasing numbers now preach the below:
#1 - Don't attempt relight because "it shut down for a good reason" as you say (personally I'm not so sure)
#2 - Forget pushing to level off at EO ACCN ALT. Continue climb to initial cleared altitude/MSA then clean up and accelerate.
See this video for an example of how a relight can be done:
https://www.youtube.com/watch?v=R4riBeS7GEk