It is indeed inspired by timely/differential, but is not exactly comparable to it. One nice property of DBSP is that the theory is very modular and allows adding new incremental operators with strong correctness guarantees, kind of LEGO brick for incremental computation. For example we have a fully incremental implementation of rolling aggregates (https://www.feldera.com/blog/rolling-aggregates), which I don't think any other system can do today.
The reason DBSP and Differential Dataflow work so well is because they are specialized to relational computations. Relational operators have nice properties that allow evaluating them incrementally. Incremental evaluation for a general purpose language like Rust is a much, much harder problem.
FWIW, DBSP is available as a Rust crate (https://crates.io/crates/dbsp), so you can use it as an embedded incremental compute engine inside your program.
For how elegant DBSP is I still found the paper a tough nut to crack, and it really is one of the more accessible theoretical contributions in the space, at least from this grubby programmer's perspective... I hope to devote some time to study and play around more, but in the meantime I'm rooting for you!
You may want to check out this tutorial for a hands-on introduction to DBSP: https://docs.rs/dbsp/0.28.0/dbsp/tutorial/index.html