Hi Svatopluk! Thanks for your patience - I was out last week for the holidays and am catching up with messages now.
I'm not quite sure what that field refers to, could you include the full logs? What connectors are you using?
Making syncs faster is something that we're working on. I don't believe this can be sped up, but please take a look at this doc to see what can be given more resources:
https://docs.airbyte.com/operator-guides/scaling-airbyte
I believe that if you've got a user defined cursor field, that would be deleted if you reset the data. Some connectors have automatically defined cursor fields and in that instance they would not be affected.