I agree that it usually takes longer than people expect. There are a lot of variables. The main risks are I guess
1) the scar is visible
2) swelling
3) redness in recipient zone
4) redness in the donor zone
5) shock loss in the recipient zone
6) shock loss in the donor zone
7) length of transplanted hair is shorter than other hair when it does start to grow
Swelling should go in a few days so no need to worry about the 2 months. For a nw 6 I would suggest that you grow the hair as long as possible in the donor area. This should mitigate risks 1, 4 and 6. Again no offence but it doesn't sound like 5 applies to you. So 3 and 7 are the main ones to think about in your case.
3 - there will be redness, it might be slightly noticeable, more likely to be noticeable if you have fair skin. It could be explained as an irritation, sunburn etc. On it's own no-one will think it is that weird once the first few days mean the worst is past.
7 - once the transplanted hair starts to grow three-five months post-op you could shave to a 4 or so all over, then within a few weeks you could have a fairly even hair length. Some guys find the transplanted hair that starts to grow is colourless at first so this could also help as it will only show colour when it already has some length.
I guess a lot of your question about recovery is not to do with the final outcome but when you can be seen again in public. In addition to the factors above and your nw level this is also a matter of personal preference and comfort.