Warning this is mostly random thoughts thrown out in the order they occurred to me.
I don't really follow Supergirl but is the first time her Earth got a designation or was that in the previous cross-over as well?
Thought it was weird they didn't come down in the Waverider to begin with. Though it actually makes sense that you don't want the aliens getting their hands on it. Writing out Steel/Vixen was a bit odd but you've already got loads and loads of characters.
Supergirl is actually leagues above everyone else, that was to be expected but completely no-selling even a strike from Barry's Lightening and Firestorm Fire Blasts really drives it home how much. Like does Earth 1 even have kyrptonite.
So are Stein's episodes him adjusting to Barry's changes in the timeline or his own interactions with his younger self?
The west's not wanting Wally to help with the "seige" on Star Labs came across a little dumb. Barry + Ollie were in no way going to manage that fight, Though both Barry and Wally could have disarmed Heatwave, Sara , Speedy and Spartan without too much effort which could have been really helpful.
Dominators were cool with the disintegration but leaving their mind control spire thing unguarded is just moronic. Supergirl somehow knew the president was in the building, despite only seeing a figure and not actually knowing who the president on this earth is... The fact that everyone didn't immediately go "its a trap" when they didn't see, hear or otherwise notice any dominator presence is just stupid.
Heatwave/Supergirl interactions were pretty good. Cisco has the right amount of angst.
Why did the Dominators just send everyone on rampage instead of you know, using them somewhat tactically, does the spire have two setting (Rampage and Off) ?
What does it matter the Barry changed the timeline to these people, to the Legends okay, they were outside the changes but to everyone else YOUR life didn't change, it was always that way. There was someone else, in some other time-line that's life was a little bit different. Diggle in particular, you still have a child that you presumably love, you didn't know baby Sara, what does it matter?
They've kind of glossed over that the Barry they have now isn't their Barry but some other Barry from another time-line. Where did their Barry go, the original time-line?
No-one wants to see the Hawks back, they can stay away. Though I admit in-universe they aren't really treating it as an all hands on deck situation or you'd have present Vixen, the Hawks and whatever one-shot ally that's appeared. If they'd brought Superman over he'd be the clear leader, he's got a decade of experience fighting all sorts including Aliens, he's the most powerful and he's not a lead in any of the shows it makes sense out-of-universe to exclude him.
Watching the Supergirl "part" of this crossover was really un-needed, I guess that's good since I just skipped through it at random.