Technically, yes. You COULD do that, but you'd still need Finesse and it would be a pretty crappy setup.
But on the flip side, your interpretation keeps some weapons which are finessible via Swashbuckler Finesse from being very viable for Swashbucklers since they cannot have Dex added to their damage.
And at the end of the day, barring FAQ, Society players cannot for certain know RAI and must go by RAW.
Except the FAQ you linked states that, for all intents and purposes, when you are wielding a bastard sword one handed (requiring an ability to do so), it is a one-handed weapon.
By that same logic, when wielding a heavy shield as a weapon and possessing the Gorumite shield trait, itbis for all intents and purposes a light weapon. Therefore finessible, therefore a viable target for Agile.
I made my feelings on this clear in the original discussion, but I'll summarize them here.
Society play only cares about RAW. The text of Agile makes no distinction between weapons which can be finessed and those which can be finessed without modification. If you can use it with Weapon Finesse, it is a viable candidate for Agile.
So I asked my GMs this question the other day, and there was some disagreement on it. Figured I'd give these boards a shot to help clear it up.
The wording for the discovery "Tumor Familiar" has the following line.
"An alchemist’s extracts and mutagens are considered spells for the purposes of familiar abilities like share spells and deliver touch spells."
This implies, to me, that if a companion entity is bonded with an alchemist with the "share spells" ability, it can make use of an alchemist's mutagen. Now, if an alchemist gains access to an animal companion (such as, for instance, via the feat Animal Ally) that has the share spells ability, would this still hold true?