Re: How to correctly install a new kernel?
It doesn't automatically install the other three because the kernel image doesn't strictly depend on them and can be used without them. You will probably want to install those packages though because they contain some fairly common drivers and the headers are useful to have if you need to build new drivers from source.
The reason you have to manually download all 4 explicitly is because normally a meta packages are responsible for getting the current version of three of them (linux-image-generic and linux-headers-generic). If you are installing an older version, the meta package no longer points at the older kernel.
Don't try to make something "fast" until you are able to quantify "slow".
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