GOSHHHHH !!! i totally feel like this is a loaded question but i have answers so let me explain

if your saying too deep into pupspace because they have a schedule, need to go, etc, then: i think they would definitely be sad to have to make him come out of it, to the point where some of them are so smitten with the puppy that they literally beg chan to get their schedules dismissed or rearranged. on days that they can't, they pout but they start using their regular language while still giving him tasks, for example they won't use their cooing voice for him but still call him a good puppy! slowly making him make himself come out of space without even knowing, by following their commands. "act like a human when jisung walks in okay baby?" he is such a good doggy that he obeys. "take off your collar so we can take a shower." they intentionally put it back in the drawer and not on the sink while he isnt looking so he doesn't automatically put it back on!! annie and i talked about it the together the other day that seungmins collar is what really keeps him in his headspace the most, they never wanna randomly take it otherwise it would be a bad spiral. he always blushes and thanks them when this happens since its rare (i think sets aside time to be a puppy so he doesn't get interrupted, so something like this would be a sudden puppyspace moment)

if your talking too deep into pupspace, i think it depends as well. when i think of being really deep in puppyspace its like subspace where you're so so deep in feeling nothing, that to the point of being non verbal, really slow actions/limbs, etc. not making him bark anymore would definitely be something? i also think surprisingly that the dog owners of them (hyunjin chan jisung) would be his main owners when he's really deep. they are perfect for both maintaining the deep space so that he doesn't go even deeper to keep him safe, or they know little quirks on bringing him up. i think hyunjin would do like he does kkami and make little noises at him, so much to the point that it brings seungmin up little by little and he yaps at him finally and hyunjin just giggles!! then changbin definitely just tussles and play fights with him on the ground like two little puppies, bringing up his energy! then from there the others have their own way of playing with the puppy!!

tldr: if seungmin is too deep, they always prioritize bringing him up to a safe level and then easing in more "human" / "inducing" activities for him. sometimes its just leveling him at that space, making sure he doesn't go deeper cause he likes it sometimes. but his owners know best!!