@Lewlle Day 2 of working on this issue. The ONLY way I can get this game to run properly is to uninstall the game. Clean the user data and install Origin. Install the game. After 2 installs (my old gaming computer and my new gaming computer) the store items now stay installed. Hmmm while typing this Origin just crashed and needed to be restarted. I had to install store items one at a time. Origin looks a lot different from when it did 2 months ago when I switched from Origin to the EA app. Haven't had a chance to really test it as we have been getting wave after wave of snow with a promise of more snow.
Side note: When I was installing the 2nd machine I was in thesims3.com my studio adding a sim to the game. I ended up with multiple entries of the same sim in the downloads tab in the game launcher. This caused the little brown boxes to come back. Deleting the multiple entries and the store items returned as installed.
side note 2: This cause Sims 4to do a patch and repair but after that it seems to run ok.