Sounds like she's OT and has a lot of change going on.
Her pre-daycare routine shows 11hr nights plus 2 to 3hr nap whilst her day care days show more like 10hr nights plus 1 hr nap, so she's losing up to 3hrs sleep per day, that's a lot of missed sleep.
Your weekend routine obviously suits her better but I suppose day care have a set time for putting the kids down for nap? Have you enquired about the possibility of giving her some quiet toys to play with and putting her down for her nap later?
Whilst it seems a shame to shift your home routine to match one which actually suits her less I do think it would be helpful for her to have a similar routine each day. Before you begin to move to that though you could try an earlier BT on day care days? As she's losing 2 to 3hrs sleep per day I'd go for 2hrs earlier BT if you can, so more like 6pm. This may seem like a huge struggle to get dinner, bath etc all fitted in to what seems like zero time, especially when you've got a nice routine going at home, but I do think it would be worth a shot.
I'd suggest skipping bath occasionally or if you are home early can you fit bath before dinner? Bring dinner earlier if at all possible to give her some time to eat, offer the sippy milk immediately after dinner (you'd be surprised, mine would take his straight after a big dinner if he needed an early night I did not know where he put it, but at this age she's unlikely to wake from hunger anyway so I wouldn't worry too much about that milk) and basically do all you can to achieve that EBT.
My opinion, she is having developmental dreams which may have negative feelings within them, she's started day care so that's understandable, she is likely OT which can effect dreams (if it is the 18 month regression come a bit late it is all basically the same, developmental dreams causing disturbance and some night anxiety which needs reassurance) and the OT can also cause EW/NW.
we don't want her to get used to us going in to console her, she's always been able to self-soothe and put herself to sleep
I would be confident that she will return to her independent sleep just as soon as she can. She is crying out because she needs you, you are responding and reassuring at each NW which is just what she needs right now. It is highly unlikely that this will become a prop, in my experience kids want restful sleep just like the rest of us, as soon as the OT, or teething, or developmental disturbances pass she will go right back to sleeping through as she did before. she hasn't lost her ability to self sooth, she just needs you during this tricky time.
hth