My husband has had both the sternum approach and the HeartPort approach, for a Mitral repair.
For the HeartPort approach, through the side/rib area, the ribs are pulled apart some to gain access (not, hopefully, broken). You will have a surgical site there, and several other smaller incisions for instruments, etc. Then there is a larger incision under the breast in that area, and a larger one in the groin area.
For my husband, the recovery was easier by a couple of days early on. The long term healing is about the same as for the sternum approach, because the heart has been operated on internally.
The surgical time was perhaps the same or a little longer because there is a lot of delicate setting up done, getting cannulas from the groin to the heart and setting up the instruments, etc. getting back out again takes time too.
The surgeon has to be highly skilled and not every surgeon can do this, also not every hospital has the equipment. And the patient has to have good blood vessels. I don't believe every surgery could be done this way. You'll have to do some interviewing and lots of research.
Joe was very pleased with the results, as was a friend of the family who was operated on using the same method, by the same surgeon for a heart tumor.