So, you aren't going to find data on this, yet. The registries on unltrasonic needle tenotomy (Tenex and TenJet are the big ones, but there are others) are just getting to the point of having enough data. One of my partners does a ton of these, publishes a fair amount on it, and participates in the biggest registries. But even he will tell you that, while it seems to work for a lot of tendinopathies, there is really only good data at this point for a few sites, mostly about the elbow. Not much for pes bursitis (which, as you know, is almost never a true bursitis, but rather an insertional tendinopathy, usually of the hamstring).
That said, it seems pretty safe. The studies that are published are showing very low complication rates, and most insurance companies are paying for it. So, not a ton of down side if you haven't responded to the usual stuff. And by usual stuff I mean hamstring rehab with focus on eccentrics, soft tissue work (we tend to use ART, but whatever), and topical nsaid creams or patches (we tend to use either compounded ketoprofen gel or flector patches -- mainly based on what patient's insurance will cover -- I think the patches work better, but they are expensive). I'll add +/- corticosteroid injections. They do provide good short term relief, but there is some data (again, mainly from other tendons) that it isn't great over the long term.
You also aren't going to find a lot of meaningful info on recovery time. It is widely variable, mostly based on how much work the person has to do on the tendon.
Not sure if that helps. Hopefully your doc has already discussed all of this.
Andy