A mainstream automated cloud infrastructure called VULTR (very fitting name) has the following claim hidden in point 12 of its Terms of Service:
" You hereby grant to Vultr a non-exclusive, perpetual, irrevocable, royalty-free, fully paid-up, worldwide license (including the right to sublicense through multiple tiers) to use, reproduce, process, adapt, publicly perform, publicly display, modify, prepare derivative works, publish, transmit and distribute each of your User Content, or any portion thereof, in any form, medium or distribution method now known or hereafter existing, known or developed, and otherwise use and commercialize the User Content in any way that Vultr deems appropriate, without any further consent, notice and/or compensation to you or to any third parties, for purposes of providing the Services to you."
So VULTR owns whatever you host on their servers and is free to use it. Additionally, last week they announced Cloud Inference: a solution built on a serverless architecture that simplifies the integration and deployment of AI models regardless of their training environment.
The conclusion? They will most probably use the content they are hosting to train their AI model.
TL;DR: Always read the ToS when you are buying a service and choose carefully your webhosting provider. A lot of business out there are not their to help you achieve your goals.