Different plots of marginal effects with interaction term and offset when using different packages

I'm trying to understand why when I plot marginal effects using different packages I get different plots. Admittedly, I suspect it's because I do not understand how data transformations and offsets are being handled by the respective packages. I'm afraid I don't know how to make a reproducible sample of data, but I hope I can provide enough context below.


I have the following model using package MASS:
model