Comment 8 for bug 1276678

The solution of my last post did not help for a long time; maybe some other updates ("debian-system-adjustments") reverted it??

So I searched a little deeper and finally found a solution which definately works for me.

Installing the package systemd-sysv and uninstalling sysvinit made my HP625 hibernate on lid-close again.

As sysvinit is essential for the system to startup, you should do a system backup before or at least cross your fingers.

As far as I understood, sysvinit and systemd both manage services, where sysvinit is the robust, old school and user configurable one and systemd the newer and faster one.

It is obviously planned to make future debian versions work with systemd instead of sysvinit, a fact that seems to be much discussed.
Anyway, maybe lmde is suffering from its "rolling-release" in-between-status here??

(LMDE, HP625, AMD-Athlon, 64bit)