Let's begin with the fact that biomedia is just providing a space for beneficial bacteria to live on. This is exactly what decor, substrate, live or fake plants, etc provide, and is also the source of the wisdom to use these from an established tank for jumpstarting a new tank's cycle/not removing too many at once from an established tank when changing them.
In fact, in the average tank, the surface area these provide for the bacteria far, far, far outweighs the surface area of the filter media. My favorite example of this is one of my 473 liter tanks, which is currently only filtered by an Aquaclear 75 with 4 sponges and a prefilter.

As you can see, those sponges and prefilter have nothing on the surface area provided by all the log/temple caves, grains of pool filter sand, fake plant leaves, and rocks. In fact, since that photo I have added 5 more rocks, a small piece of driftwood, and a small cave.
Therefore, they provide the most biofiltration in the tank despite being 'built-in' aspects not specifically designated for that.
Which brings me to my next point. Because of all that biomedia, designating some in your filter that you never or hardly ever rinse is no longer a concern.
This is my favorite thing about the built-in biomedia because I can easily rinse out everywhere in my filter that collects gunk 3 times a week, without ever having to worry about damaging the beneficial bacteria.
One final benefit that slips the mind of just about everyone, myself included until recently, is that so much in-tank biomedia makes a filter breakdown very non-disastrous if there is a manner to keep the water in the tank oxygenated (such as with Sicce pumps). All that must be done in such a scenario is to put the filter media into the tank (rinse if dirty) and keep it well oxygenated while the filter is being fixed or replaced.
The thing that got me thinking about this is my Aquaclear recently making unusual noises, making me suspect it might break and require me to use its warranty to get it fixed or get a new one.
In fact, this last benefit means that technically, you could run the tank with no filter at all once it has a good enough beneficial bacteria colony established plus a source of sufficient oxygenation! I would still run filters given the choice so that detritus can be gathered in a place where it's easy to access and clean out, but if the Aquaclear has to be fixed and I have to go filterless, I have no doubt everything would be fine.