Moinmoin,
I also sometimes switch Key Sync off after hitting the key(s), which may or may not lead to hasty knob-pressing action if more LFOs are concerned...
Moreover there is one big disadvantage when using square-LFO-signals:
The keypress does not sync with the rising edge of the LFO. Syncing seems to be at 25% (in the mid of the low phase, making adjusting to a drummer in live situations next to impossible
For me this meanwhile is the most urgent thing I would like to be updated in P'08, even before increasing of ADSR time constants...
As a workaround however I started using the sequencer, which can be set to sync to the keypress. The sequencer is also able to do some "pseudo-randomness", so maybe it is a solution for Your (mallery7) needs.
Martin