Sqeezy soap dispensing rather than pump action. All my shower gel is such, and it cleans my hair as well.
Requires two functional hands.
Flip top with one hand, sqeeze into the other?
You haven't met Barakta, have you...?
I've met surprisingly few forumites f2f
Barakta has one hand that can be turned palm-upwards without dislocating a shoulder. It's the same hand that's capable of squeezing things with a diameter of more than a toothpaste tube (albeit with about a third of normal strength), and indeed reaching all the way to the top of her head.
As such, pump dispensing bottles - at least the ones that don't fall over when operated one-handed - are a massive win.
(To be fair, we have a re-purposed handwash dispenser which I re-fill from bottles with fully recyclable lids.)