After pressing, I trim/gently pull off those little seam threads that are going to detach anyway when the "block" or partial block is a six inches or so square/rectangle. Rarely do I have to do it again as I treat my work with gentle hands.
Why? I had a tiny ~less than .25 inch~ thread from a "ravelly" fabric detach itself and get under the bobbin holder where it caused havoc with my machine. I was about to take the machine to be serviced when I did one last cleaning and found it.