It is possible to simulate digtal filters in LTSpice. This was shown in by Erick Cook on EDN https://www.edn.com/use-ltspice-to-simulate-mixed-continuous-and-sampled-systems/
Here is a cleaned up version with easier interface.
Included are building blocks to make:
Delays (Z-1)
Single or BiQuads in direct form 1 (better option for reduced precision like when using fixed point/ints)
BiQuads in Transposed direct form 2 (good option with floats and saves two delay slots)
Picture shows how the pure analog filter is expressed as a Laplace polynom then it is transfered to digital domain with bilinear or match transforms.
The digital filter matches the analog trace very well.
