Lets have a think about this taking realistic examples. That means reality.
Huge colony requeened with a new laying queen from some sunny climate early in the year. Might the colony swarm? You bet it might.
Think about the typical new queen reared from an A/S in the UK. Mid April (at the earliest) and the brood nest is then free of new brood for about six weeks (if the queen gets mated at all). Padgen type A/S so few flying bees in the colony at emergence. Work out typical colony size by the time the queen has emerged, mated, started to lay, plus another three weeks. Typical June gap when forage might be short would assist build up , 'cos bees are brooding, not foraging. Income is poor, so lay rate should not be excessive. Will they swarm in the first season? You work it out. Likely any very early queens will be superceded due to poor performance, which would take up yet more time.
Now take the really strong colony with a queen that has already swarmed the previous season and has built up numbers early in the season. Will she swarm? Doubtful, as queens generally only swarm once. So they supercede and then swarm with the new queen.
Just some examples. Maybe you could think of a few more , like leaving a colony in a nuc hive, or not giving adequate space in a full hive. Beekeeper induced swarming.
Never say never with bees. The exception proves the rule, as they say.
Your colony? Emergency cells, so possibly a scrubby queen, possibly not a strong colony in the first place and likely your mentor was misunderstood by you when he was commenting on a new queen in a colony that was only 'coming along nicely' - whatever that means! Ie - a specific example. Yours are more likely to supercede that emergency queen, than swarm, this year I would suggest.
Anyhow never say never.
I would say 'unlikely to swarm in the firstbseason, given good management. That would generally mean not raising queens in situ until early/middle of May.
That is my opinion and please note it includes misunderstanding beeks, not actually listening to the context of advice given, as well as the reality of the developing nest.
Remember - there will be loads of advice given, now, that goes something like 'I read somewhere ...' and then quote third party reportings as gospel according to St Mellifera.
