Cosmetic packaging comes down to three mechanisms for getting product out, and they fail in three different ways. Knowing which failure applies lets you predict whether a product will still work for you in two months, which is information no label provides.
A pump uses a spring-loaded mechanism. You press down, a measured dose comes out, and the force required is constant from full to empty. The grip is a press — which can be done with a fingertip, a knuckle or the heel of the hand, making it the most adaptable motion of the three. Its weakness is that the container must be held still, so it is not one-handed unless you put it on a non-slip mat.
A tube relies on you deforming the container. The force required increases as it empties, because less material behind the remaining product means more pressure needed to push it through the same aperture. The grip is a squeeze, which recruits several finger joints at once. This is the format with the time-dependent failure, and it is the one that catches people out: fine in the shop, difficult six weeks later.
A jar or pot requires you to twist a lid off, then pick product up with a finger or a tool. The lid is a rotating grip, which is often the hardest single motion, and the pick-up step needs either a pinch on a brush or putting a finger into the product. Two hands throughout, and nothing about it gets easier.
So the ranking is pump, tube, jar — with one caveat that reverses part of it. If one-handed use is the requirement rather than grip strength, a tube with a pull-off cap can beat a pump, because a tube can be squeezed against a flat surface or between a hand and the body while a pump bottle cannot be held and pressed by the same hand.