Considering all other things like GPU, code quality etc. equal, the speed here mainly depends on the size of the network. Larger networks result in better performance (logarithmic), but also slower speeds (linear). There are some tricks like pruning to create significantly smaller networks with similar-ish performance, but good models are often large.
Unrelated to your question, what nobody mentions is that the decompression side also needs to complete network. With 57M and 187M parameters, those files are going to be quite large, > 100MB for sure. That completely annihilates the performance wins for 1 time transfers.