Not really automatic price-setting, at least not by default! I would personally like to have control over the knobs in my product.
It would give you a dashboard where
A) You would be able to set the prices manually (with suggestions, of course, and with taking into account things like extra Stripe fees, rounded estimations so you don't wound up with £28.837 in the UK).
You'd set them manually based on country, so you won't leave money on the table by not charging less in India, for instance.
I'm always mentioning India because Apple is the widest example that comes to mind: Apple one is £15 and £25 in the UK, whilst $1.5 and $3 in India
B) Run tests that you set manually on prices. $19 vs $29 — see, with metrics, which one brings your company more revenue. Or perhaps same revenue, but more users, so more word of mouth — who knows what the test will show?
You'd be able to either schedule (e.g. $19 for week 1, $29 for week 2) or run tests at the same time (show 50% of ppl $19 , show 50% of ppl $29 // OR show ppl in the Uk $19, show ppl in the US $29)
RE: your last comment — the best part would be that it'd be a flat fee per month, no percentages! So every extra cash that you receive from ppl on top of the flat fee is yours to keep for... well for as long as your "LT" in LTV!
How does that sound, you think?