As Optimistix doesn't implement ProximalGradient, this is currently set to use a custom implementation in OptaxOptimistixProximalGradient based on Optax's SGD with linesearch followed by the proximal operator.
This seems to work in practice, but is not as theoretically sound as jaxopt.ProximalGradient which implements the FISTA algorithm.
To be able to eventually stop vendoring (and drop support for) JAXopt, we decided to add a port of JAXopt's ProximalGradient that adheres to Optimistix's interface, and replace OptaxOptimistixProximalGradient with this when using the Optimistix backend.