Brand/Product Architecture for scaling company

I have an interesting problem to solve. For a company that is growing and would like to move to a multi-product architecture.

The original product has been successful and there are plans to build 2 new products that target different user bases. Could a user use more than 1 product? Yes, but it would be uncommon.

With this in mind. I'd prefer a 'light' integration. E.g. Links in the footer vs. a landing page for the company vision etc. And below that, links to the 3 products.

My assumption is that given the user bases are segmented, the products should stand alone. As opposed to a multi-product company that shares the same user base. Obviously the look and feel can be consistent but it's more a question of positioning.

From an experience perspective, I'm concerned that introducing the additional products to the original product heavily could confuse/annoy/alienate existing users.

So my question is. Are there other things to consider? Do my assumptions hold water? What other options are there?

Thanks!