The wrong move
Publishing the same service page on several domains adds no useful information. A domain alone is not evidence of expertise, independent endorsement or search visibility.
The right move
Give a site a distinct reader and useful material: an author catalog, engineering explanation, press resource or product guide. Consolidate duplicates with an appropriate canonical or redirect, and link to the actual product for current capabilities and terms.
The graph
Every domain links to the entity home and to two or three siblings on adjacent topics. The link graph mirrors the topic graph. That is what an engine is trying to reconstruct; hand it the map.