Is this meaning of "bogged down" correct?

I am reading through a composition with the following sentence:

Children rarely get to spend quality time with their parents as both are bogged down with their own demanding schedules

Dictionary meanings:

Merium Dictionary: to cause (something) to sink in wet ground

Cambridge Dictionary: to be/become so involved in something difficult or complicated that you can not do anything else

But the author gave meaning for bogged down as : having to do several tasks

Is the above meaning completely correct? My understanding is although doing several tasks is important, it is “you can not do anything else” should get more focus.

could you share your thoughts and post it as answer, rather comments? Thanks

Solution 1:

"Children rarely get to spend quality time with their parents as both are bogged down with their own demanding schedules"

In this sentence here, I would say "bogged down" means something like "both are too busy" or "both have too much to do". The fact that the author specifies its meaning as "having to do several tasks" is misleading.

As Xanne in the comments said, you can be "bogged down" with just one task, or you might not be "bogged down" even if you "have several tasks to do", because those tasks are easily accomplished.