I think it is possible that older mums posting on this thread are forgetting hoe it really was and/or idealising s bygone age.
There is no doubt that uncomfortable cloth nappies which needed hand washing provided both parents and toddlers with greater motivation to toilet train early. modern nappies are so good that children hardly feel wet in them, and they are no trouble to dispose of (apart from environmental concerns, obviously. ..)
my 72 year old mil is always telling me about how her three were toilet trained early and always in bed at 6.30pm every night - but then she tells the odd story which gives the lie to this (e.g. dh aged 5 blocking the loo with a whole roll of paper at 8pm when his dad was home). I believe she is being truthful about what she remembers, but I also think she has put a rosy glow on it over the years. I also see that she is much more patient and understanding with my little boys (her grandchildren) than she claims to have been with her own children. .. . but I bet she was just as indulgent and loving with dh and his siblings!!
No medical professional will see your child as "late toilet training" until they are about 4 years old at least. I have looked into this quite recently, for a friend.
My own ds1 refused to use the loo until he was about 3.9 and one day I told him I wasn't buying any more nappies (in his case, it genuinely was just laziness and loo-aversion, so he cracked it within a couple of days). However, when I was little, I wet the bed until I was seven, and will never forget the shame! - there was nothing I could do about it, I really did try.
Surely people who work with small children should accept that they have accidents, especially when stressed. I am not idealising the past - I remember that when I was in reception class in the early seventies, two or three children went home in the school knickers every day.