when the backdoor is covert and not overtly declared the choice of using the questionable product becomes more economic. the choice gets a lot easier when the government or company clearly states they have a backdoor. for many countries it's not just red flag for using the questioned IT it's a reason to fund industries that compete with a better modal.
And they do that, with the full knowledge of the NSA spying programs.
Unfortunately for your theory, most Europeans clearly do not care enough about their privacy. I don't see any vast European protests about the NSA these post-Snowden days, most people have gone back to sleep. European leaders have largely been 'reassured' enough to remain docile about it, after a brief pretend flash of anger and push-back.