I had a brostrom about 10 months ago. My doctor was also on the more aggressive side. The first week I was NWB and I got my splint off, and my doctor told me I could start WBing as tolerated. I didn't put any weight on my foot until the 3 week mark. I probably could have sooner, but was just scared. It worked out great and my ankle is very stable. Goodluck to you!
The typical post-op course for a Brostrom repair is 6 weeks of non-weight bearing. With physical therapy initiated afterwards. It is quite unheard of to progress to FWB as tolerated in 2 weeks after the repair.