This does indeed sound unrealistic.
Maybe you can approach it from the question: what can you do to make this effect weaker or go away?
For example:
- do you get plausible results if you reduce power? run the analysis with fewer participants? fewer chunks in each participant?
- do you get similar results with a smaller searchlight radius?
- what about data in an ROI that is not supposed to contain information, for example from a ventricle or outside the brain?
Also I wonder:
- are any potential confounds that may explain cross-decoding, for example movement of participants?
- when making an uncorrected group map using cosmo_stat (no TFCE / monte carlo), do you see peaks of strongest statistical effect where you would expect them?
best,
Nick