Existing experimental data on γγ→ρ0ρ0 are reviewed. It is showed that the published results for spin‐parity composition of the cross section are not consistent with each other. A Monte‐Carlo study is performed to trace the origin of the disagreement. It turns out that the results of the analysis are not sensitive enough to the assumptions about the partial amplitudes and phases in order to justify the differences. It is concluded that they are most likely due to uncertainties in acceptance calculations and low statistics. A high‐statistic sample of ARGUS data taken at a cms energy of about 10 GeV is analysed and it is found that most of the cross section can be attributed to a JP=2+, helicity 2 partial wave. This together with recent ARGUS data on γγ→ρ+ρ− suggests a qqqq interpretation of the threshold inhancement in the γγ→ρ0ρ0 cross section.