but it does... You want me to add a detail of where I may have heard it
Where you may have heard it is a detail, yes, but what I care about is the information it conveys, not the quantity of detail it adds to your action description. You could write me a novel about how hard your character thinks about the sigil, there is no amount of detail that will be “enough” if it doesn’t contain the information of where you may have heard the thing.
the funny part is that then makes me the player have to know what it is... like it's an arcane rune from the city of tyr... but I grew up in tyr my first few years before I went to sigil to learn advanced (aka beyond cantrip) magics then I apprenticed for 3 years under a genasi... so knowing that BUT NOT KNOWING IT IS FROM TYR, I say "I remember back to being in sigil and learning advance magic" but that isn't really as helpful as "I think back to my early years in tyr"
no seeing the symbol and just thinking if I saw it before or could figure it out I SHOULD be able to remember if I ran into it in tyr weather I verbalize that or not.
It’s possible you could have seen the sigil while studying magic in sigil; it’s also possible you could not have seen it. Knowing that, I have the information I need to determine that it is appropriate to call for an Intelligence check here (to which you could certainly add your arcana proficiency). It also gives me something to work with so that if you fail, I can tell you something you
do remember from that experience in Sigil, that’s related to but doesn’t directly satisfy your query: progress combined with a setback.
except all of that can be relayed with "Can I arcana that?"
No, it can’t. “Can I arcana that?” Only tells me that you want to know something about it. It doesn’t tell me what you want to know, or where you may have heard it, which are the two pieces of information I need for my action resolution process.
what additional relevant information are you getting?
What you want to know, and where you may have learned it.
i am at a loss that you think your way is more concise...
Seriously? In what world is “I try to remember if I saw this in my arcane studies” not more concise than “I think wistfully back to the days when I was but a wee lass and my dear, loving grandfather would take me upon his knee and tell me such wonderful stories of his adventures in his own youth as a traveling scholar; oh if only I could recall, did he ever mention seeing something of this sort?”