Thanks for the fascinating book link and information. While it seems there's insufficient evidence for the fort or Wood Vale as a Roman road, there's certainly well-documented (if, perhaps, not well known) evidence of Roman activity not far to the east of Dawson's Heights because the Roman road from London to Lewes passes nearby.
The northernmost alignment of the Roman London to Lewes road branched from Watling Street just south of the modern Old Kent Road in what is now the back garden of 77 Asylum Road running parallel to the road for some distance under other Asylum Road back gardens. Here the road was built of gravel on a base of pebbles. Passing just east of Nunhead railway station the road runs along the back gardens of Ivydale Road, crosses the Crystal Palace Railway, and crosses Brockley Rise at St. Hilda's Church before heading to Blythe Hill Fields in Catford, turns south and heads towards the coast.
The road is documented in Ivan Margary's book "Roman Ways in the Weald".
https://en.wikipedia.org/wiki/London_to_Lewes_Way
Some useful modern context and photos are provided here.
https://pengepast.wordpress.com/2017/05/02/a-modest-way-south-east-londons-roman-road-part-1/
There's also speculation that there may have been a Roman vicus (small rural settlement) on or close to the Roman London to Lewes road in Peckham, based on place name and archaeological findings.
https://archaeologydataservice.ac.uk/archiveDS/archiveDownload?t=arch-457-1/dissemination/pdf/vol07/vol07_09/07_09_229_231.pdf
The owner has been found.