Only as in "ability to replicate that alien technology".

In the same way, all materials and construction techniques for 1896 Marconi radio receiver were available in Ancient Greece.

The theoretical stack required for successful IC design very much guarantees it wouldn't remain at steampunk.

Remember, 'integrated' meant initially just 'more than one component'. It would start with poster-sized wiring diagrams, switch elements, photosensitive spots etc. As it got smaller and more circuit elements were added the math may have progressed with it.

It's more than the math. It requires modern understanding of electromagnetism and material science accounting for semiconductors. From that things like practical electric motors/generators and plethora other technologies become essentially a corollary.

You might find these comments interesting:

https://news.ycombinator.com/item?id=17371343

If you write that up, please send me the link (I’m the OP)

Why did you think that? We didn't have transistors until the 1960s.

Well, integrated circuits started as just 'more than one component' on the same device. So a sensor and a switch perhaps. Or a resistor network. Etc. Start there and you rapidly improve (just like it happened later)