I thought that night be how you were using PoW but payment using sats mined on a PoW system is not PoW itself, it's simply payment (same as payment with gold coins). And what you were describing is payment gateways - for information to be passed along by a relay payment must be made. Again, same as a toll booth.
> The proof of work was captured and stored in cyberspace for it to be spent later.
This is completely wrong. The amount of work done to generate a Bitcoin in 2009 & 2010 was trivial. When you spend a BTC from that era you are not spending the work done to originally 'create' that BTC. The value is derived from that BTC being one fraction of a limited supply in a system that has been continually secured by PoW from that day forward (none of which you, the 2009 miner may have contributed).
PoW is only meaningful within the BTC system and is what secures the system (and, with the 21 million limit, makes BTC valuable). But the work done to mine BTC at whatever time (trivial once, very large today) does not magically transfer into whatever system uses BTC as payments. All you were talking about is making ppl exchange something of value to pass a gateway. Bringing PoW into the discussion (when it's relevant only to how the Bitcoin system works) is invalid.