Convert ServiceDeprecationTest into a Kernel test

Not sure why we're opening up an issue when both the META and the class PHPDoc explicitly state:

Note: this test must be a BrowserTestBase so the container is properly compiled.

Conveying uncertainty, there appears to be a plausible opportunity to convert it into a kernel test case. Furthermore, I have removed the links integrated into the parent issue. Any insights or feedback on this approach would be highly appreciated.

As the comment says this must be a functional test in order to ensure that the deprecations are correctly triggered at runtime, kernel tests do not use a compiled container and so they are not a valid test in this case.

Thanks @longwave for confirming.

Let's pull the trigger.