Thank you! I shipped a new version with the correct license
LGPL is for libraries: you can use an LGPLd program in proprietary software, but you have to make the source of the LGPLd program with modifications available if you distribute it. It doesn't infect the rest of the program, and it doesn't have any clauses that trigger for SaaS scenarios.
Your current explanation doesn't jive with my understanding the AGPL. For example, you cannot realistically sell a service that incorporates an AGPLd component because it'd require you to open source the entire service.