So, if you want to have that kind of 2D-beings at all, the 2D-slice universe must have physical laws allowing for this to happen. And for this to be at all possible the 3D-world has to have laws that make sure this to be the case. So sure, your 2D-beings may perhaps see things "coming through" but only to the extent that it could be perfectly compatible with the existence and "well-being" of the kind of 2D-beings you're talking about.
Thankyou for your as-ever interesting thoughts.
Is what you are saying a bit like this:
Set aside the matter of dimensions and exchange it (temporarily, hypothetically and only partially by analogy) to colours.
Only being able to experience or understand or know about 2-D in a world which actually has another dimension (in that case the 3rd) is perhaps a bit like only being able to experience monochrome in a world that is actually multi-coloured. As for a dog, apparently, or so I hear.
And as you say, the not being able to experience the 'colour' which is actually 'there' (or 'happening') would not seem to present a hypothetical sentient dog with any major issues, because the colour is 'translated' into or perhaps we could just say experienced as, something which still functions for the dog, namely shades. The putative sentient dog doesn't notice any weird, inexplicable or incompatible colour stuff happening, because as you say, its monochrome world is still regular and predictable and without contradiction.
I am not sure if this analogy would work for the 'limited 2-D understanding in a 3-D world' thing. Colour doesn't 'do' much, of itself. It can't shit from the third dimension onto what I perceive as my little flat head for example. In order for the analogy with colour to apply, we might have to say that I simply would not experience the shit or that if I did it would be explicable, without contradiction or incompatibility, as something I
can understand in terms of my (limited) 2-D rules. But how would it be that, because it would seem to involve being utterly unpredictable (to me) as I would have no rules to predict the shitting behaviour of 3-D birds I can't perceive, so we would be back to,
'what the f**k just happened?'. As if, to get back to the analogy with colours, the sky, for a person who can experience colours, suddenly went green and the grass blue, for 30 seconds, at what for them would have to be random intervals.
It might be easier to say that I simply wouldn't notice it, like the dog not noticing a colour, but how would I not notice being covered in shit?
Perhaps 3-D shit would not manifest in my infinitessimally thin slice? It would 'pass through' me, unperceived (subjectively, by me) a bit like microwaves or radio waves or whatever it is that mobile phones use, or something (eg the sound of a dog whistle). That would at least reduce my laundry bills.
Yes, I think that's better.