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Bromley have no money for the park, hence the quote, "Bromley Council's Peter Morgan said money for restoration would also be "generated by the sale of sites on the periphery of the park" currently subject to planning permission." (BBC website)
The £800,000 to do a feasibility study seems massively excessive.
This is going to incite a reaction from the Crystal Palace Community Association. The CPCA is a hard-core of residents who have opposed any development of the park,..often in a forthright manner (e.g. protests against the proposed multi-plex cinema, forthright opposition to the Master Plan in public meetings, etc)