Strange brands of oil are usually made by one of the big companies with a different label stuck on them.
If you can access the COSSH webpage or SDS document for the product you will see who made it, and possibly also see other brands stuck on the same thing.
I looked up Halfords brand oils once like that, it was made by Comma. I have an idea Wilkinson's is too. Lidl oils might be German, perhaps made by Fuchs.
Unless you have a new or sophisticated car, or a wet-clutch motorcycle, chances are that any modern oil of the right spec will be at least as good as whatever was on the market when the engine was designed. Some of the synthetics are annoyingly specified differently for Ford/VW/GM/BMW.
The correct grade of oil, changed per the maker's schedule and kept fresh, is more important than the brand.