Figure 1 shows an example of the problem caused by the order in which reconstructed particles are considered.
AtlfastTemp processes electron b first. There is a cluster in the vicinity, but too far to be associated, and the electron is considered to be non-isolated. Electron a is then considered. The cluster is close enough to electron a to be associated with it. Electron a is considered to be isolated.
Athena-Atlfast looks at electron a first. It sees that there is a cluster close enough to be associated with it. Electron a is thus considered to be isolated and to have an associated cluster. The cluster is removed. When electron b is considered, there are no further clusters nearby, and this electron is also considered to be isolated.
A similar effect can be seen in figure 2, only this time with isolated photons.