I think that would be a great addition in the marksmen update.
Ehh
Giving the same unique passive to everyone runs into issue where build paths stop mattering and defining champions as much, and everyone becomes an amalgamation of unrelated stats that have no clear strength, weakness, or identity.
With keeping things like Life Steal only viable on auto-attackers and Stasis only available to AP you create a distinct feel for each build path.
With AD you have life steal to sustain long enough to deal sustained damage as a defining play-style feature, where with AP you have a burst of defense between bursts as a defining play-style feature.
This is further reinforced within build paths where certain stats are only tied to a specific partner stat - such as MR and HP/5, life steal and AD, armor penetration and AD, and so forth.
This creates defining choices where armor-heavy builds don't get a high level of HP/5 and life-steal heavy builds don't get much in the way of armor penetration, leading to a lot of decision points with A OR B.
Specifically limiting Stasis to AP itemization alone enforces certain weaknesses on various champion archetypes, it crease a clear OR point which is vital for choice to matter - which it really should in a game with 100+ item choices that aren't simply set up in a tiered format of Iron armor, Steel armor, Mithril armor, etc.
Making an AD zhonya's item runs into a major issue where you cause itemization to be more of a muddled brown rather than a clear red, yellow, green, blue, black, white kind of dynamic.