bxl-forever
Well, this is mostly a rendering issue, not a data problem.

The name of this path is properly set in the database.
https://www.openstreetmap.org/way/164607396/history#map=20/50.87649/4.35770&layers=C

The main layer (osm-carto) shows it with zoom≥20.  But on this page, zoom stops at 19 and you won’t see it.

I agree that highway=footway + bicycle=yes makes more sense than the current situation (highway=cycleway + foot=yes), though they are technically similar.