Most people dont realize that the actual registered name of a company is different than its domain name or brand/product name. This is not a big issue from this perspective

If you think you will have other products than it could make sense to have a more generic name using "softwares" that will cover all of your activities and not use a company name similar to your current product. Again, no decision on the registered name will prevent you from doing anything in the future as a bad decision on a brand/product could have