Thanks for evaluating this so closely, I thi nk both of your comments are great ones. I can understand why you might not have read the entirety of this thread so far (yay! 900th post!), but if you did you would see me making both of these points before.
But for completeness, I do think SketchUp for Web makes it easier and more convenient to access your models from multiple computers, and for raw performance (for now, anyway) you’re going to be happier with SketchUp running natively on your desktop computer. That’s why we kept SketchUp Make 2017 available to you. No need to worry about accessing the installer - we have a link to download it again right inside SketchUp Free.
To make it easy to sync all your cloud-saved models to your local computer, you might want to give Trimble Connect Sync a try.