Investigate syncing 2 local nodes is not working

[BeroBurny]

Observed few times that running and syncing 2 nodes (latest case lighthouse and teku) will fall in some type of limbo and stuck and same syncing state.

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Tests need to be done

• [ ] test syncing with 2 different networks
• [ ] fully sync one node and run another from 0
• [ ] test main case with 2 same nodes

[BeroBurny]

@morrigan did you have this problem with #525 ?