Thanks for providing these article links,
@Indiesmom. We'll take a look at them.
I hope my personal story will help mitigate your concerns about this a little: I was also diagnosed with osteopenia prior to my first THR. My surgeon and I discussed it prior to the surgery because I was afraid it might compromise my recovery. He indicated that, while there was a slightly greater risk of fracture during the procedure, his experience has been that the long-term outcome for mobility is better for uncemented implants.
Sure enough, during that first procedure, I did sustain a hairline fracture -- which was repaired immediately in the OR. It did not impact my recovery in any way. So, when it was time for my second THR last year (six years later), we agree to go the same route. This recovery has also gone well. (If it is any reassurance, my surgeries were done by Hospital for Special Surgery, which has been ranked the world leader in orthopedics for the past two decades).
As others have said, needing a cane or other walking aid to prevent limping at your stage of recovery is not at all uncommon. Many of us use them for months until we are confident we can walk without limping. However, if you are unable to weight-bear, even with that support, I encourage you to speak with your surgeon to find out if something else might be going on.