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What makes you think CS graduates get paid more? What is their pay? How does this compare to the pay of various kinds of engineering graduates? What is your source?
What makes you think CS graduates have high unemployment? What is their unemployment? How does this compare to unemployment of various kinds of engineering graduates? What is your source?
I don't know of any engineering firms that start their employees out at >100k per year, yet there are several software firms that do this.
If those sources are both for the UK, then that is strange.
I would be really surprised if this were the case. If you can't get a real CS job after graduating, you can always fall back on a lower level software engineering or IT job.