update one table from another when the column names match

declare @people table(
	avatarkey varchar(36) not null primary key, 
	avatarname varchar(50),
	prims int,
	allotment int,
	lockers int
)

--lots of code to fill table

update @people set prims=(select prims from PrimOwners where PrimOwners.avatarkey=@people.avatarkey)

However I get...

Must declare the scalar variable "@people".

so normally I would use table aliases like this:

update @people P set P.prims=(select O.prims from PrimOwners O where O.avatarkey = P.avatarkey)

...But SQL Server does not allow aliases in an update like this.

Incorrect syntax near 'P'.

Note that it WORKS if the column names do not match.

declare @people table(avatarkey1 varchar(36) not null primary key, 
	avatarname varchar(50),
	prims int,
	allotment int,
	lockers int
)

-- fill table

update @people set prims=(select prims from PrimOwners where avatarkey = avatarkey1)

So what am I missing here?  I'd rather not have to rename my column, as I would have to go through my whole app and change it everywhere.

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I'd rather live with false hope than with false despair.