Never tried it, but my personal opinion is any quality 2 stroke will be about the same. Some are even master-manufactured by the same parent company, and re-packaged as another brand, so "ECHO" 2 stroke may be identical to "Poulan" 2 stroke. Obviously, a small Chainsaw and Trimmer manufacturer is not going to set up an Oil refinery just to sell oil. They buy it from a repackager. Thus, I don't stress much over brand X over brand Y. However, I do compare Synthetic to Regular Oil. Those birds are two very different molecular animals.
I used to do only "Lawnboy Ashless Oil" mixed exactly at 32:1 and still had carbon buildup on my exhaust ports. Tried a lot of different oils including synthetic, and the best i found is Royal Purple 2 stroke Synthetic. Since switching to it, no issues. I run it a tad lean. 40:1. I have run it at 32:1. No difference either way. Your comfort level. I now prefer synthetic and like "Royal Purple" the best. It's available at Walmart, Amazon, etc. I have no affiliation with the company. Just a happy consumer.
If you REALLY have to have the original Lawnboy cans, you can get them from online ordering like here:
Pe Oils & Lubricants : Lawnboy Generation Ii 2-Cycle Oil
As posted above, someone manufactures this FOR LawnBoy. You can probably get the exact same oil from someone else, but WHICH BRAND is the issue. Someone that knows LawnBoy and their 3rd party suppliers could tell you.