Again, Baroque the article was about emotional development. Reduced language exposure would be an issue regardless of what you were doing.
However, there is probably still a difference. If you spend an hour on the internet, say, and do your online banking, answer your work emails, muck about on MN, email a friend to arrange dinner, update some references on a work document etc, you are doing many different tasks which all pof which look exactly the same to your young child and conceptually, underlay sentences like:
"Mummy's playing/typing on the computer"
"Mummy's busy"
"In a minute" etc - all pretty much related to the same thing, with no reference really to what you actually did (which they can't really perceive).
If you spent an hour at home and also did the same number of tasks e.g. phoned the bank, cleared up after breakfast, swept the floor, picked up the post from the hall and fed the cat, they are observing the interaction of humans/objects and different actions, laying the foundations for a greater range of vocabulary and sentence structure e.g.
Mummy is on the phone
Mummy is wiping the table
Mummy is picking up the dishes
Mummy is washing/scrubbing/rinsing the cup/plate/spoon/fork/knife
Mummy is sweeping the floor
Mummy is putting the rubbish in the bin
etc etc.
Even if you say nothing during this time, your child will pick up discrete aspects to each of these activities (e.g. will see a transition between washing and drying/different objects involved), which then act as a foundation for language (conceptual/prelinguistic level). If you (or anyone else) does then say anything about any of these things, there is a template there e.g. you say "hang on a second, just got to rinse these cups", your child will look at you and at what's happening and back at you and associate these words. They may then see the same activity elswhere and they will associate them e.g. washing up at home/dad's/nursery/school. It happens in miliseconds yet is a fundamental aspect of how we learn.
In an online interaction, it's a lot less obvious. You are doing different things but it always looks more or less the same. You will be less likely to mention any words that are specific to what your child can see you doing e.g. if you say "just doing the online banking", what sense does that make to a very young child? If you have older children who have been in a bank or heard about banking at school or have experience of money and relate it to banking, yes.. but for an under 3, the mechanism by which they learn words relates to the "here and now"/immediate context, so it's so much white noise.
If you are online for ten minutes and do all those other things as well, it's probably a non-issue. If it becomes something happening over an extended period of time.. well.. I think it could be very different, potentially.
All theoretical of course.. but based on what I know about how language works in the very young. Again, it may not be that it has negative consequences per se, it is a massive shift though and as yet we don't really know enough about the potential for it to impact on these aspects of development, I'd say.