From what I gather, many of these engines come to the manufacturer of the machine with simply the pipe plug stuck in them and often one on each side because they have multiple drains.
They probably come with the foot drain thing that Briggs has used for a long time in a little bag with the engine or maybe they buy those separately but it's pretty much up to the manufacture of the machine to put them in and this also creates a problem because for a couple of decades now I can tell you that over 70% of those are not tightened enough when they are first installed and by the time they get to me, or any other tech, or the owner in just a few short number of years, they are so loose you can take them out with your fingers and they are typically leaking oil at least seeping a little bit.
I would venture to say it's more like 8 out of 10 of them are loose.
So many machines over the years have had a set up of plumbing pipe installed currently with a nice little cap on it so you can drain your oil quickly, much easier, and much cleaner.
Be happy that you at least have some sort of quick drain because being able to stick a piece of hose on that makes it a lot easier. Remember, you don't necessarily have to have the same diameter hose. I've used a piece of probably half inch or 5/8 heater hose for years.
It doesn't stick and stay on the nipple but it still works fine.
Also, I made up a nice little drain out of a 2 L bottle and off it out of those 20 oz or 1 L bottles by cutting it so it's open on the half top after cutting the bottom off then you can slide this right underneath the drain up against the engine and this works even for the ones that just had the pipe plug because those will make it extreme mess without some sort of drain or funnel attachment.
Many of the newer machines come with a little trough style plastic drain thing that's meant to do just this but I find that my homemade cut up bottle works better.
Then I have another one that I use to pour my used oil back into the 5-quart and the 2 gallon containers because it flows much faster than your typical funnel.