Or would I have to reacquire them?

After, you cure yourself of being a werewolf, you can't become one again, so it's impossible to do what you're saying.

False, Aela the huntress can turn you back into a werewolf

Edit: Or at least that's what I read, haven't tried it obviously haha

She can and yes you keep your perks.

WHAT? Hmm, someone told me you couldn't turn back into one after you got cured of it. Looks like I was wrong then.

IIRC the only way you can become one again is if you cure yourself of Lycanthropy via becoming a VL, otherwise it still remains impossible.

So far as I heard Aela will restore the beast blood once, no matter how you lost it.

That changes when Dawnguard is installed.

That's correct Aela will bestow the beast blood only once more if you cured yourself of it and I know this by empirical knowledge.

Yeah used to be no way to do it, Dawnguard (or 1.06) added a 'second chance'. Pretty sure they did that incase folks took vampire means to get into the Soul Cairn but still wanted to be WW after.

I did the companions quest line before dawnguard got all the perks then became a vampire once again got all the perks before i realised that the dawnguard would no longer talk to me since I was a vampire so on a hunch I went to Aela in jorrvasker and she was able to make me a werewoldf again and i didn't have to reaqire the perks its only a 1 time thing that she will make you a werewolf again so use it wisely

I re-rolled a toon and got turned into a VL (which I wanted to play) before I did the companions quest line. I felt like I was missing part of the game so I went back to do the companions, got turned into a werewolf and instantly went back to Harkon to regain VL. When I talk to Aela now, there is an option for me to ask for beast blood. I don't plan on going back, though now the companions are lead by a vampire