Why would 101+ not be possible? I was saying you can't HQ below the cap. i.e. maybe you can't HQ those synths 101+ without items/support?
It seems that the general consensus is that people think that you can still HQ while under skill cap. I don't know how many of these are "gut feelings" and how many are based on data. I skilled up my bone mule from scratch and recorded every synth (HD got wiped in the summer

). I started on the hypothesis that you cannot HQ while below the cap and in 1800 synths minus a few (levels where HQ was desirable e.g. trumpet ring). Never in that time did I see anything to disprove this. This isn't to say that it's impossible, I could have just been unlucky.
This next bit isn't directed at anybody specific and is not intended to offend. The fact of the matter is, I don't know if I can trust what other people say. Of course, you don't have to trust what I say either. This is essentially why I conducted the test, to prove to myself that you cannot HQ it while below the cap. This way I can be sure that the tests were under the right conditions vs. "I remember HQing this once. I was probably below the cap."