Changing the bearing won’t really affect the main play characteristics. If a yoyo is fast or slow, floaty or not, stable or not, a bearing itself won’t really alter those attributes. Those attributes are the yoyo itself.
A shaped bearing will be more forgiving of bad throws, but keep in mind, a bad throw is a bad throw. Having a shaped bearing doesn’t really address that issue.
Since the string will be kept away from the sides/response of the yoyo, you can often get longer sleep/play times. Your results will vary.
Now, let’s say a bearing was kinda not so good. Any type of bearing can make a difference here, provided it is clean and in good working order. Of course, in this situation I am comparing a potentially bad and/or dirty bearing vs. a clean and properly working bearing. Sometimes a bearing swap can make a yoyo’s vibe vanish or decrease as well.
Keep in mind the general warnings about certain bearings:
Flat bearings can let the string run up against the side, making accidental binds easier as there is no string centering. Flat bearings allow for natural string movement and maximum string layers in the gap.
CenterTracs keep the string away from the response, and with a flat middle portion allows for a great deal of string movement when adding layers of string into the gap.
U-shaped bearings force the string into the center but string layers can get bunched up as a result. V-shaped bearings such as the Whipple can also have this problem, coupled with issues pertaining to grooved bearings.
Grooved bearings hold the string centered, so you don’t want to load layer onto just one side/
Terrapin X Wing-Cut bearings offer curved bearing centering with flat bearing movement.
If you want to mess around with different bearings, all I can say is that I do recommend this practice. Find what bearing works best for you in a particular yoyo. While there’s up-front costs to buy the bearings(different ones), I think if you find what you feel works better for you in a yoyo, then the cost is well justified.