Paul, it is a small difference, but measureable. Here's a good explanation with some illustrations.
https://performancebyie.com/blogs/ie-auto-blog/the-right-bellmouthcases B and C are basically what you get with the K&N on the carb. A sharp edge at the outside will probably cause a vena contracta effect as the air enters, reducing flow.
The filter end, if it is a hard surface (as with the K&N) can reflect pressure/acoustic waves that have come out of the carb back into the carb. I think it was David Vizard that noticed when running an open-carb engine on the dyno there was a cloud of air/fuel "standoff" outside the carb mouth at some RPMs. He grabbed a sheet of metal and started moving it closer and farther away from the open carb and at some distances he could get the reflected waves to coincide and eliminate the standoff. But as usual, that distance varies with the RPM (and the engine, and probably cam timing too) so you'd want some sort of auto-adjusting panel in the airbox. What seems to be more usual is to just make sure that far end is far enough away that any reflected waves are too attenuated to make any difference. At least then you aren't having to deal with one more data point.
The distance from the valve head to the outer end of the carb will determine the resonant length of the intake tract. A low RPM bike like the Savage would probably like a much longer intake (but where would you put it then?), where high RPM engines (especially roadrace 2T engines) often can't make the tract as short as they'd like it to be.
You can tune to different harmonics to get a tuned, but different, length, but you may have to pick a harmonic that has less energy than the ideal, and so you get the benefit of the tuned length but not as much due to the lower strength of the harmonic.
So a nice elliptical radius of at least 180* on the end of the bellmouth, standing in free air (so it can pull air from the surrounding area more easily) inside of a large capacity airbox with a low-restriction filter is a good plan. But wait, the size of the airbox also effects the resonant system (I think you'll find discussion of this as a Helmholz resonator as in this link)
https://www.locostbuilders.co.uk/viewthread.php?tid=149862While we're talking intakes, my engine builder testedone of those nifty v-stacks with a mesh/grille on them that some people like to use on their bikes when running without a filter. Flow on the FB and power on the dyno both were reduced, so you might want to avoid them.
A good airbox is a GOOD thing. The problem can be in finding one and then getting it to fit on the bike.

cheers,
Michael