Bonjour, thank you for checking the edits. 

I don't think any of the changes I made here removed the bicycle=designated tag. I agree that "voie verte" should be tagged as you described. 

If you look at the history of the ways from the changeset, you'll see that the tag was removed by "David Crochet" with https://www.openstreetmap.org/changeset/168930076 after my edits (surface, smoothness). Compare for example https://www.openstreetmap.org/way/244159077/history/12 (after my edit) and https://www.openstreetmap.org/way/244159077/history/13 (after David Crochet).

The same changeset also removed abandoned:railway=rail from the voie verte, maybe that's also worth checking?