Nobody can really help you there as everybody is different. In addition, it depends on what season you're going in. I assume you are experienced with hiking in general if those are your plans, so have some experience sleeping in cold environments and you just want to know how cold it can get. We did the Santa Cruz trek. I have an old synthetic -5 ºC bag. My girlfriend has a new -20 ºC down bag. We generally were both warm enough (we also wore thermal underwear, warm socks, a fleece and other warm sleeping wear inside a 3-season (almost 4-season, but can't handle standing on snow) tent. I am not sure what the temperature went down to, but it got very cold (as in, finish up your coffee and dash into your tent cold) the moment the sun set, so probably reached -10 ºC, maybe colder, during the night. We were there in July. We also hiked the Choquequirao to Machu Picchu hike, with the same gear. It was not as cold as the Santa Cruz trek, although it had 2 nights at similar altitudes (Yanama and Totora are around 4000m altitude, about the same as the first and 2nd nights on the Santa Cruz trek).
I believe the highest camp on the Ausangate circuit is higher than anywhere we camped, while the Huayhuash circuit is mostly similar (just more nights at that altitude). For summitting the two peaks, it's more about your hiking gear than your sleeping gear, as I presume you will be setting off on your ascent around 2AM (we didn't climb those peaks, but that was approximately our departure time for the peaks we did). I got frostnip from not paying enough attention to how cold my hands were getting when summitting Licancabur. I didn't know the lack of oxygen makes cold harder to deal with for your body, and what felt like fairly normal cold in my fingers (no worse than I've felt when skiing) was actually dangerous at altitude. My fingers have fully recovered, but it was not something I'd recommend: use good quality gloves (and probably boots with a better thermal rating than my old, and extremely comfortable, but very much patched together leather boots). I believe my down jacket (a cheap one from Decathlon) was sufficient, and it was mostly my gloves that weren't good (cheap and old). My girlfriend had no issues and has a mid-range north face down jacket (similar to the one you're looking at).