No to using your 2009 iMac recovery disk as part of the 2011 Mini move to Snow Leopard, It won't drive the 2011 components.
The boot disk must be able to activate all of the new hardware, including CPU, GPU and Thunderbolt, that are included in the 2011 Mini. That's why the process works: it relies on the recovery disk rebooting the 2011 Macbook Pro, and thus being able to boot the very similar setup in the 2011 Mini and to fully activate its imporant components..
Items that need drivers not available in your 10.6.2 disk include the Intel i5/i7 CPU's, the Intel or Radeon graphics processors, Thunderbolt chipsets, etc. Someone will be able to create (and will do so. soon) a boot disk image with modifications that will help you get the job done without a MBP, and word will circulate on that.
You may be stuck with 10.6.8 pretty much forever, if Apple decides to detect and disable booting for the 2011 Mini in future 10.6.x updates. Let's hope that they value our needs and don't do that.
However, being "stuck" with 10.6.8, isn't really a bad fate: the re-released, revised version of 10.6.8 is strong, stable, full of drivers and hooks for recent hardware, and fast; it should serve us very well for many years. Until we someday update to.... (ohmigosh!)
...Lion.
😮