https://www.bromley.gov.uk/homepage/132/public-rights-of-way-in-bromley does indeed show FP068 in that position. But Bromley's map shows it to be in a gap between those buildings.

That PROW map on OSM seems to be be misaligned by about 15 metres in the area. If you apply an imagery offset of 6.04; 9.48 you'll find it better corresponds to the footpaths in Queensmead Recreation Ground.

Also if you look at Mapbox Satellite I think you'll see a plausible bevel to the buildings in the area of your note. But to be completely certain, it ought to be checked on the ground.