I know what elliptic filters are.
The fact that some mastering consoles have elliptic filters illustrate how "bass summing" is part of vinyl production.
If by "part of vinyl production" you mean it's a tool, like mastering EQ, that may or may not be used...then fine.
You need to think about the bass when dealing with vinyl and you know that. Otherwise you could end up with vinyls that force the stylus to jump out of the groove. If the bass content of the recording is light then of course bass summing is not necessary.
Clearly you've never dealt with cutting a lacquer master. No, it's not that simple, and no, bass doesn't make the stylus jump out of the groove. In fact over-cutting HF is also a problem, and there's a way to deal with that too. There's a maximum level "curve" that chances with frequency, level and phase, and all of that translates into stylus velocity. Add to that the fact that driving bass into two transducers, either speakers or headphones, emphasises it in the presentation much more than what you'd expect from simple addition. As compared to a single channel only, with two driven equally you'd expect +6dB, it sounds more like 10 in headphones or widely separated speakers. More like +6 in a "juke box" stereo where drivers are close together. Either way it's a way to get more bass, even if groove mod is not hitting the max, or even -6dB from it.
There's an HF issue too that is geometrically related to stylus velocity. And it's not solved with an elliptic filter. But no matter, none of the "solutions" are part of vinyl production any more than any other tool on the mastering console, and there are quite a few tools.
Also, as long as the chain is linear (enough), it doesn't matter at what point bass summation is done. The listener can't know if it's done by an elliptic filter of the mastering console or earlier in the mix.
Wrong. It does matter. Bass summing mandates a filter/crossover, center-panning of the bass content does not. Sorry of you can't see the difference. Bass-summing is a band-aid for a mix made without consideration of a high average cut level. That's it. That's all. You'd be surprised at how many tracks don't have bass-summing, but do have perfectly centered bass.
So, with vinyls channel separation at low frequencies is often done at some point. CDs are a different story.
No, absolutely not! You're still assuming bass-summing is standard, common, required, part of the system, etc. It's a tool. Does a carpenter use a router on every job? Nope, only the job that requires it. Do you wear sunglasses every time you drive your car? Nope, just on sunny days..
"Your" music may require bass-summing because it's likely mixed by the uneducated semi-pro in his basement who doesn't know beans about cutting a lacquer, and it's extremely bass-heavy content that's desired to be cut and played at the highest level possible. Move out of your genre and consider some others. Classical never...NEVER...requires bass summing. I just listened to a jazz track this week with hard right panned string bass. Off-center bass is not unusual, hard panned bass is a bit more unusual but hardly unheard of. Then go down the list. The "loudness war" genres will all have centered bass, those less involved in the conflict are open to options. If centered bass is required because of the desire for high bass presentation, it's mixed that way, no bass summing needed or used. If it's not mixed that way, and it's discovered in mastering, they "fix" the mix and cut the lacquer hot. If you don't need it cut hot, there's no issue!
Get it? Hot cutting + Bass = Centered bass...Unless somebody goofed in the mix! Then apply bass-summing.
The audio world is no more black and white than any other part of the world. And I'm sorry if you feel I embarrass you, that's not my point. But take a lesson from my grade school band director who, in an effort to make our band more listenable without ear plugs, said, "When in doubt, breath in, not out."