The website for this app offers a premium and an ultimate plan. As most Appsumo customers will be aware, it is usual practice that deals here are aligned to plans on pricing pages at the websites. It appears in that this one is too as it clearly states (as of 12 June 7.40am CT)
"All future Premium Plan updates".

Now, the founder recently reported in his update that:
"Branded emails are now available in all Premium/Ultimate subscription plans. You can change the organization name/logo from the Whitelabelling in the settings"
https://charla.com/idea/allow-your-own-brand-name-on-transcript-email/#comment-2882

So, when I was unable to change the logo in the support centre, despite apparently being on the Premium Plan, I contacted support and was told:
"nope the LTD is completely separate unfortunately and does not follow the premium subscription plans"

When I suggested this was incorrect because the Appsumo Product page clearly shows:
"All future Premium Plan updates"...I was told "yes it means here the Premium LTD plan".

Clearly this is not legal - it is not even misleading, but entirely underhand. Now we don't know if any other future updates will be implemented as they have an LTD premium and a subscription premium. It seems I shall need to refund. Please consider your own position too if future updates as well as clarity of what you purchased are important to you.