can you lose progress when cycling herbs?

I don't know much about the aruveydic herbs that you are talking about, but I did look them up. If this description is correct, you would loose ground because you would no longer be treating the infections, only helping to support your body better:

"As one of the three ingredients in the Ayurvedic super formula Triphala, Haritaki is considered to be one of the best herbs for balancing vata dosha. Supporting the body's natural cleansing process, it gently removes accumulated natural toxins in the gastrointestinal tract. As a rejuvenative, it strengthens and nourishes the tissues and supports the proper function of the colon, lungs, liver, and spleen. Haritaki is traditionally used to address all vata-related imbalances. It maintains regular elimination, helps promote healthy body mass, and supports comfortable and complete digestion. Haritaki is highly revered in India, as it is believed to increase energy, intelligence, and awareness.*

So, you've had it before if you've used the Triphala, but as you can see, it doesn't help treat infections, but it doesn't sound like a bad addition to your protocols.

You should also know (in case you didn't realize it) that oil of oregano alone won't likely be enough on it's own to heal these infections.

We use Triphala in our home as a laxative. It really is of no help with lyme disease.

We use Oil of Oregano for bacterial and viral infections. However I did not use it for lyme disease.

As for Ayurveda, well I love the premise of balance and that is what it is all about. I did not choose it as a modality for curing my lyme. I went with Buhner's herbal protocol.

I did research Ayurveda cures for lyme but I did not find that many recommendations from healed people.

I don't think taking either of the 2 items you mention will get you well from lyme disease. You are going to need more than just those 2 items.