Mind you - as I doubt if it was much above 20C most of the time I doubt the temperature difference between air and water was that large!
TIL a new word, https://en.m.wikipedia.org/wiki/Syncope_(medicine)
I've heard of this concern more in the context of much larger bodies of water like the ocean or snow-fed mountain lakes, which can stay cold a lot longer than a pool by virtue of their size (and in the case of the latter, a continuous influx of very cold water).
It might be fine for young people and people with people with peak cardiovascular health, but for older people or anyone with impaired cardiovascular health, the risk goes up.
Slowly getting in to cold water is some kind of torture to me, I always dive in. But frigid water is not my thing at all.
Interesting, because my impression was that there's a decent amount of staff comparing to my country (Poland).
Also it's the first place at which I've seen a line of lifeguards on rafts making sure nobody reaches the point where they can collide with motorboats.
Personal example: I'm 20, I am a certified lifeguard (I did the training because I was a competitive swimmer), no experience but I could extend my certificate till I am 65 year old, in whatever physique condition with whatever knowledge of best practice. That's just plain wrong, and I know that a lot of States work in a really different way with refresher courses and such, making pools and sea a safer place.
Also, where do you have lifeguards? Indoors, outdoors? I don't remember seeing any at all here in Sweden.
The problem here is that a lot of people doesn't know what's going on with their hearth and certainly a lifeguard doesn't know about.
Also, adding to that, https://en.wikipedia.org/wiki/Cold_shock_response
I don't know about Sweden situation, but it seems really weird that no lifeguard was there. In Italy every public or private place with a pool needs a number of lifeguards according to the number of people of the pool / the pool's dimension. It's really easy to have some heart attack or hypoxia going unnoticed, example: X person jump in, simply doesn't get up. Also, time is key, if an heart attack occurs a close defribillator with someone able to use that / a lifeguard able to transport that person out of the pool without damages (it's not that easy as it sounds) can be really important. Drowning situations are even more dangerous, a drowning person can have a force in their arms able to do real damage and everything needs to be deal in the safest way.