OP is simply describing what is common throughout government in the UK. This is known as the Revolving Door.
Private Eye magazine wrote a special report on it some years back as, frankly, it is scandalous https://www.private-eye.co.uk/pictures/special_reports/revol... [PDF]
In contrast, the issue with civil servants being let go and re-hired as contractors is a simple issue of inefficiency. The same person doing the same job has the same incentives, they're not being corrupted. However, our public resources are being spent inefficiently to hire the same person to do the same job for more money, with an added bonus of spending resources on the acquisition process itself.
Good luck reconciling these two conflicting points.