The OSSC should be quite fast at syncing to the signal, so you may want to try and rule out it’s not your TV that is being slow at changing modes. It really should not take more than a fraction of a second for the OSSC itself to sync.
As for your other question, it is quite general and really boils down to finding out the best settings for each console. The OSSC itself does not do any filtering or brightness/saturation adjustments.
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