Discrepancy between public OSRM demo and personal OSRM server

[JeongJuhyeon]

Hi, happy user of OSRM here.

I've noticed a discrepancy between the public OSRM demo (https://www.openstreetmap.org/directions) and my own OSRM server's results for a specific footpath query.
The demo seems to use a cycleway, mine doesn't. This causes the route that my server returns to be much longer.
This is the command I used to create the dataset for my own server: docker run -t -v ./osrm-backend:/data osrm/osrm-backend osrm-extract -p /opt/foot.lua /data/south-korea-latest.osm.pbf

Do I also need to include bicycle.lua for cycleways to get used in footpaths? If so, how could I do that?

Here's the route and here's part of the cycleway that the public demo server uses, but my personal server does not use.

Thanks!