You just can't rate Weebly higher than Blogspot. Firstly, Blogspot is a platform created by Google and therefore it will have higher relevance than Weebly. But weebly is a decent platform too.
I've not used Weebly and haven't used Blogger in many a year, but I'm fairly certain you can rate it however you want. It's personal choice in what you like more. I don't see how something that is created by Google has a 'higher relevance'. Relevant to what? Google? That's like saying that between planes and cars, planes are more relevant to flying.
Rate Weebly higher than Blogspot? That's an intriguing conclusion. So what yardstick do you use to rate Weebly higher than Blogspot? Does Weebly have a more commanding presence than Blogspot? I think not. Would be good if you can share your reasons.
I think the perception is that Google would rank it's own property higher than others. The only way to really tell is to test and find out.
Sounds like the perfect opportunity for a case study. A side by side comparison using the same keywords. I think the perception is that Google would rank it's own property higher than others. The only way to really tell is to test and find out.
I have used Weebly before, and I would still recommend Blogger over Weebly. Weebly has a very nice interface, and very easy to customize. Their drag and drop feature is very user-friendly, so if you have any photos or videos, you can simply drag them from your desktop and plug them in. You can also pop in an URL and it will generate the photo/video. Blogger however is a little more complex, but their themes is what buys me. They have a lot of themes available, and you can easily install them with an HTML code, and edit it from there. It has more features than Weebly, but requires a little more work to optimize for your readers.