First of all, I'd like to say that the majority of peoples don't read TOS and privacy policy when they sign up on a site or app.
Even if some peoples read, they really don't understand because it requires a level of reading skills.
Usually, peoples read these pages when they face an issue otherwise not, saying from my own experience as a full-time internet user.

In your privacy policy page, you did mention that third parties may have access to your information but did you mention the purpose of usage by third parties? I guess there is no mention of EMAIL BLAST...

I don't think you had mentioned that you will be sending other promotional offers than the users signed up for, in this case, the products or service you had offered.
Even if you had mentioned this then the majority of peoples didn't read that and logically sending them offers (email blast) may consider as spam imo and spam is not a good thing.