AEs - Describe your ideal AE-SE relationship - What made the best the best or the worst the worst?

Pretty self-explanatory, but curious what ways AEs out there are interacting with their SEs (Solutions or Sales Engineers) or other technical counterparts.

Do you find it better to split all the work along technical vs business or do you prefer when you can both run the business and understand the product/tech?

Trying to build a successful team with my new AEs, some of whom haven't worked with SEs, some who have had success with SEs and others who have thought of SEs as demo-monkeys (least successful.. duh, there's no real team/relationship).

From an SE perspective, my teams have historically performed better when we work together and share responsibilities instead of hard-splitting. When both myself and my AE have an understanding of our product, the customer's use case and business process, we've crushed it.. but I've also had AEs that didn't know how to work with an SE and would just throw demos and POCs around like candy to get themselves out of any actual discussion.

Now, on the flip-side... When I was an AE, I leveraged my SE to get through complexities, but typically was able to get by without hounding him/her too much.

Any examples of a successful AE/SE pairings you have would be appreciated.. as well as the worst ones - want to avoid bad habits :).