I tightly tape with masking tape the paracord. Cut it in the middle of the tape then flame the ends gently. Remove the tape and you have a good one.

If you could figure out a way to fuse about a half inch of the cord into a hard bit that works very well in the tubing connection.

I have thought about inserting the cut and fused end as above into a tight brass tube and then heating that to fuse the whole end up but have never tried this.

My breakaway lanyard from Suunto has such ends and a rubber tube connector and it works like a charm.