What are domlogs?
Domlogs are the domain logs which are generated for the domain. Web statistics use these logs.
If these logs are removed, you won’t be able to view the stats for that specific domain.
However the stats will be updated from the next coming day, and you will be able to view the next newly generated stats, but not the old ones, as you have deleted them.
If the logs are consuming more space, you can try to delete the older files say a weeks or a months ago, to free up some space.