I guess there is no guarantee but assuming you can refi in a few years getting rid of the PMI is not a big hurdle I would think. Unless rates go up in which case just sticking with the loan an suffering the PMI will still look good most likely.
But being that the fed already owns about 6 times as much of our national debt as china does and it pays all the interest it gets back to the treasury every year, I think it will never matter one bit if china stops buying our debt. So I think they will be able to keep the interest rates exactly where they want indefinitely, but that’s just my opinion.
That does not mean they won’t want to raise them at some point, but at that point I think would require wage inflation.