My opinion (and a non-medical one at that) is that after having waited the proper amount of time recommended by your surgeon, HR gives you a very good opportunity to go back to your activities.
Bone mineral density is the measure used to evaluate bone density. There is a theory proposed by German surgeon Julius Wolff (1836-1902), which is well accepted. It says that bone density is increased by the proper amount of pressure being applied to the bone.
If pressure is applied over time, the bone will grow denser and stronger. If loading decreases, then the bone will become less dense.
Tennis players, for example are apt to have much more dense bone in their racket arm versus their non racket arm. It also explains the loss of bone density by astronauts if they are in space for an extended amount of time.
So this is an accepted theory, that the more controlled impact is bound to improve your bone density. Martial artists (hitting close to home) have much more dense bones in areas where high impact happens.
I imagine (expanding this to runners) the same theory applies here, since you are dealing with repetitive pressure being applied to a limb. As long as it's controlled and gradual, my uneducated thinking is that it will make the bones denser.
The only thing that's up in the air to me would be the actual connection between the bone and the device. The connection is made when the bone anneals itself to the roughened and beaded surface of the device and grabs on. The real question is whether, after the connection is made and the bone has wrapped itself around the device protrusions, adding pressure to it makes the bone that is now holding on to the device stronger.
My hope is that it is and does, so that if you are applying non-catastrophic pressure, you are making that joining stronger. It is a hope, but seems to follow Wolff's law.
From an article comparing bone density between HRs and THRs, and the effect of Wolff's Law:
"The mean BMD in the calcar region increased after one year to 105.2% of baseline levels in the resurfaced group compared with a significant decrease to 82.1% in the total hip replacement group (p < 0.001) by 12 months. For the resurfaced group, there was a decrease in bone density in all four regions of the femoral neck at three months which did not reach statistical significance and was followed by recovery to baseline levels after 12 months.
Hip resurfacing did indeed preserve BMD in the inferior femoral neck. In contrast, a decrease in the mean BMD in Gruen zone 7 followed uncemented distally fixed total hip replacement. Long term follow-up studies are necessary to see whether this benefit in preservation of BMD will be clinically relevant at future revision surgery. "
Reference:
http://www.bjj.boneandjoint.org.uk/content/92-B/11/1509.abstractTo me this shows that after HR, the bone density returned fully to baseline or better than baseline levels taken before the HR (105.2%). It also shows the dip in femoral neck density at three months which is recovered later, backing the advice given by surgeons to be careful for the first six to twelve months.
Again - not a medical person, but it's what I got from the article and to me shows why surgeons are Ok with running and other activities, so long as it's done with some restraint, at least initially.