I worked for several years for a lumber company that did a lot of resawing for thin lumber sales. We ran a mix of water and Charley's soap(to prevent rust).
The drip served two purposes, one cool the blade for longer blade life. Very important for exotic woods and hardwoods. Second to keep any resin buildup from occurring.
There was never enough residual water left to cause any concern or problems.
My experiences only! We did several hundred feet at a time(once every couple months) of about 10-15 different species.