The suspend tools don't use initramfs per se; but suspend-to-disk is useless without a way to resume-from-disk.
The current recommended way is to add a resume invocation into initramfs stage-1 init, without init it may still be possible by using kernel parameter, but the setup is more complex, probably requires swap not to be on device-mapper devices (like LVM2), and may break with future kernel updates.
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