However, programming salaries here in the EU are much more in line with other specialist salaries, which the government already hires many of. So there is no significant problem in hiring programmers at competitive rates for government work. The bigger problem, and the reason this doesn't usually happen, is just ideological opposition to state services, preferring to contract out this type of work instead of building IT infrastructure in-house.
Putting UK and Switzerland in the same pot is wrong, the pay scales are totally different. 100k$ is 80k CHF which is entry level salary for a SWE. The difference between Switzerland and US is at senior level (reaching 160k CHF is much more difficult than reaching 200k$).
And, to support miki123211's point, the Danish government has had continuing problems hiring software engineers for the past decade, leading to a number of IT scandals.
0: https://studerende.ida.dk/english/about-to-graduate/salary/s... 1: https://ida.dk/om-ida/nyt-fra-ida/solide-loenstigninger-til-...
I can assure you that junior software engineers in Italy or anywhere else in the EU make nowhere near that amount of money. In fact, few of even the most senior software engineers make that amount of money anywhere in the EU (in Switzerland or the UK they might see such salaries, at the higher tiers).