Where I work we're currently replacing everything that's SSIS with .NET services. I get the idea that taking the code out of it seems easier, but I've found it usually just leads to frustrating limitations. For our latest data migration we're moving things out of some SQL-based ticketing system, online accounting services, and FileMaker into Dynamics 365. Sure, it's not pretty to look at, but we can do some deep manipulation and mapping to existing entities in Dynamics that is frankly a chore in any sort of other migration tool.
Ninja Edit: To handle stuff like scheduling, endpoints, etc we use Azure functions.