One factor to consider is that the additional locations will need an extra HPG, plus adding another location to the existing Jumpship schedules. The first is a massive outlay of money, and the second would initially cause schedule snarls.
What could be done instead is everyone working to bring their existing worlds up to good quality, and just providing libraries to non-affiliated worlds. No extra HPG infrastructure needed, and as the existing worlds increase their capabilities this will allow fresh Jumpship yards to be brought online (and existing yards expanded). The extra Jumpships (and Dropships) improve trade and communication capabilities, and allow for more worlds to be colonized/recovered. Independent salvage operators might be hired to search abandoned worlds for anything of value (good temp job for mercs?), while first contact teams meet anyone from an inhabited world d try to talk to them.
So I could see some worlds being contacted, the fun part is 'what then'. Some of those planets might have wanted to be separate from the nation they are physically located in, and refuse to have anything to do with the negotiators. Other worlds might be delighted at the contact, but their tech base is extremely low (only 21st century). Lots of opportunities for First Contact and Negotiation skills, and chances are every Jumpship hired for these tasks will have a copy of the library (and data on the major powers) on board, to give to the locals. Something like, "we'd like to trade with you, but that is your choice. In the meantime, here is a complete copy of current civilian tech and political map available to everyone else, so you know what is going on." If there is a piece of Lostech on the planet, some negotiators might want to trade for it while others will want to steal it. If there are plans for Lostech, getting a copy of that Lostech and adding it to the library might be the goal.
You also have the fun where the inhabitants of the planet are now known to others, and pirates decide to stop by.
