Email as a service, should I send verification emails on signup?

Is it worth it for an email as a service platform to use verification links?

and

How negative of an impact have verification emails had on user signups in the past?

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I have an email as a service application where the monetization is mostly from emails, but can also come from a website and an app.

We have our fair share of gnail.com and gmail.con entries to which those users will not receive any emails. We also have had reports from people who claim to not have registered for the service and want to unsubscribe because they get blasted with emails from user interactions on the website.

I've read the other posts concerning verification links, and I firmly believe that some avenue of confirming email addresses should be established so we can capture the missed revenue opportunities. However, the business thinks that we will lose signups with an email verification link.

My working idea is to send a verification link, but not inhibit the user from using the website or app. Keep a persistent banner on the page reminding them to verify their email if they wish to receive emails from us.