In terms of how we differ then perhaps the largest difference is the data is inside the network, so not via exit nodes onto an insecure Internet. In terms of bitcoin there is not attempt to obfuscate or encrypt traffic (in fact the opposite really). They are very different, bitcoin I feel is a secured ledger of transactions, Anonymity is a very far second goal in that case as graph analysis etc. will always reveal what humans cannot see.
Tor, is more related to security and encryption etc. There are theories on how much of Tor is tracked, if any and also the usual theories about the core principles. This will be true of us as well in terms of are they really bad folks pretending etc. In terms of how tor does this then it is via a load of technical steps. They focus more on security than user experience and that is probably endemic of many such projects and not a critique as such. Our approach is no exit nodes, secure data cryptographically and then secure the network and comms, but the large difference is really where the data resides and for us it is in our network and tor it’s (mostly) outside their network.
They all add to the security goals though of tend to secure anonymous (or private be default, which I prefer) and free (thankfully). As long as all the projects exist and improve then it’s probably best for us all.
I should say GCHQ NSA and others outgun us in resources by several factors, so we must get larger fast as a community. They have “5 eyes”, we could have millions, if we get it right and make all our code etc. easy to read