I'm not sure and I see what you mean as it is likely part of the bicycle route but apart from that it doesn't seem to have any other features that would indicate it's a cycleway or shared path, it looks and functions more as a walkway, so based on that I thought it shouldn't be highway=cycleway.

highway=cycleway + bicycle=dismount does have a bit of use which seems to be where cycleway is clear but there is a section where signage says to dismount.

The bridge stairs at https://www.openstreetmap.org/way/153296507 would likely qualify for this but because they are stairs they are getting highway=steps instead.

Another example is at https://www.mapillary.com/app/?pKey=301605831538676 where it's a shared path, the lane markings continue but the signs say to dismount, so in that case I think highway=cycleway + bicycle=dismount is correct (based on the fact that we tag shared paths as highway=cycleway).