I'm really torn here. On one hand, I don't want to make you feel worse but on the other hand, I'm worried that you are being given an overly optimistic picture of how sleep improves, which whilst gives you (much needed) hope, might not help much in the long term if baby doesn't turn into a magical sleeper.
What I mean by that is that some babies do longer stretches after 6w. Some take a few months. Most take a lot longer the reason I'm saying that is because that makes it (or should at least)a family problem, not just yours. Pretty common is that baby does longer stretches until the 4m sleep regression hits, and from there it swings wildly from good to terrible.
What you don't want is to hit 6m, or a year, and you go back to work but baby still isn't sleeping, and it's just become the norm for you to do it all. Or baby will only settle for you, so you continue in that pattern. And then you'll be even more knackered as you'll be working as well.
You do get better at the sleep deprivation after a while (15m old awake every hour from midnight to 5am, I'm working today) but the sooner as a couple you come up with strategies to ensure you are not both exhausted, the better it will be longer term.
I'm mostly not half dead today because my husband took the baby wakes from 5am until 10am (after being up with our 3 year old first...) so I could sleep.
Ie you've got some choices basically.
You could wait and hope that sleep will improve soon. It probably will (though maybe not for good...) And let that hope carry you through.
You and your husband plan for how you can shoehorn in some extra rest, or how he can take shifts, or modify his working hours (probably easier given wfh), or have sleeping baby in a sling, so as to maximise sleep. And if baby does start to do longer stretches as well then HAPPY DAYS, but regardless, you should get more sleep and you have a plan and start a precedent of you both being involved, to get you through the next few months or years.
Oh, and just to emphasise, if baby will only sleep for naps being held, husband does some of this, in a sling if needed, whilst working. If baby will go in a Moses, then nap yourself.