Exactly. It's not like there aren't multiple timezones in Europe already

We do have multiple time zones in Europe. They have been agreed upon for a practical compromise. It is not clear to me what would be the advantage of calling off that compromise and have a costly rearrangement.

At least in my whereabouts it's more about split opinions inside the country.

Wait until all the DCF77 clocks around the continent will start to diverge from the official time of the country in which they are located.