Yes, it is a product. Just because it isn’t a physical object that doesn’t mean it isn’t a product. Your gig is a package of programs that you provide access to, not a service. There is no labour and no project. You are just providing access to programs and it doesn’t look like you have the licensing to do that, anyway.
A service is when someone fixes your computer, not sells you software to use.
By Fiverr likely not supporting this, I mean that if they don’t ban your gig, they aren’t going to favor it in the algorithm because it is inconsistent with what Fiverr is all about: projects which are completed personally by the seller and have a clear end and start date. There is nowhere to rank you, anyway because you don’t fit into what Fiverr sellers and what buyers look for.