Description of App
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Baking Soda is a Safari extension that replaces custom video players (except the YouTube player) with a minimal HTML video tag.
Baking Soda is more basic than Vinegar. Unlike Vinegar, Baking Soda doesn't block ads or let you switch the video quality. If Baking Soda doesn't work on certain websites, you can easily disable it in the settings.
Note: The "can read information from webpages" text in the permission section is just unfortunate wording. Baking Soda needs access to the web page to find video players and replace them. It's not doing anything creepy!
What about if you have Youtube with user name and your password to make sure if you watch a video in your PC, you will be able to do so in your iPhone or iPad?
You need the developer's other Safari extension Vinegar - Tube Cleaner for Youtube.
I only ever use Youtube as a guest, but I don't imagine that Vinegar would interfere with your use of Youtube when logged in, as it only swaps out the native media player to a more standard-compliant one - one which some might find more accessible on top of removing the ads.