I strongly disagree with the folks posting here. In my experience, I’ve seen more teams come out on top and with more points holding both garages on Noctus than any other base capturing strategy. I think we all agree that the trick in Warzone is map control, and while the Monument does provide some good vantage points for sniper fire, it is also easily attacked from all sides. A well coordinated team that is good with precision weapons can certainly make hay out of holding the Monument against a group of randos who all default span and mancannon at them, but if they are facing a similarly coordinated team holding both garages and attacking from three sides, they are going to have to devote a lot of their resources to defense. Which means they have fewer resources for boss hunts and offense against garages.
It’s really basic tactics. The Monument can be attacked from three sides, each of the Garages can really only be attacked from one. Which makes the Garages easier for an organized team who is communicating to defend than the Monument. If all you get is the Monument, you’re basically letting yourself be surrounded while ceding 3/5ths of the map to the other team. Your defensive situation improves obviously if you can cap and hold both the Monument and one of the Garages, as you only have to defend in two directions then, but so does the opposing team who only really has to defend in one.
In terms of access to bosses, the Monument arguably has better access to a bunch of them, but it is pretty slight if you really think about it. A player spawning at either Garage or at Home Base can be on top of almost any boss in seconds due to the mancannons (fun to mancannon over the Hunters and Ground Pound them for a stun). Plus the Garages grant more or less exclusive access to a handful of bosses.
At the end of the day, the Monument is a trade off. Yeah you get a few great perches for precision fire and sniping, but a team who is experienced with the map knows where all those vantage points are and can theoretically suppress your fire. You’ve got great access to a lot of bosses, but an organized team is going to be pounding you from three sides which might interfere with your ability to both hold your spot and get at any of those bosses. Particularly if you are playing with random teammates. Capping the Monument works very well for coordinated teams playing against randos who aren’t using mics at all, but I’ve found that with even the most basic communication, even randos can pull of a two Garage strategy against a more organized team.
In my experience, the ideal position for your team in terms of holding some of the bases is the two Garage approach. I mostly ignore the Monument unless I can’t get my team to back me up at the Garages.
OP, since you are presumably playing mostly alone, my advice to you is to ignore the first Elite boss like folks are saying, but instead of mancannoning at the Monument, head for a garage. Your team is probably going to focus on the Monument at first, that’s what 95% of players do on Noctus. You can do best by doing the unexpected and trying to cap Garages. Noctus is definitely a two base map; unlike the other Warzone maps, it is very hard to come out on top only holding one point. So no matter what happens, your team needs a Garage. Once you get one Garage, your random team will probably start helping you defend it. Which leaves you free to either do some boss hunting or spawn at base and try to cap the other Garage (or Monument if you so choose). You are right that there are a lot of precision players on Noctus, so your job when traversing the map is to move quickly try to take some unexpected paths. Use both the mancannons and the catwalks. If you are going for an enemy held Garage and are getting shot down on approach, you might do better by detouring past the enemy Home for example, as they probably aren’t having anyone spawn there. Lastly, if you have a mic, communicate with your team, let them know what you are doing. Even if they can’t or won’t talk back, they might follow you and provide you with some backup.