It runs on Tor, the Bitcoin Blockchain uses Tor to "whisper".

I think what you're actually asking is "How practical is it to access services like NOSTR and Mobile wallets via Tor?" 

and the answer is it's possible, but a miserable experience. 
A private VPN is much faster and more stable.

Even from desktop, using a Tor browser is a compromise and not a pleasant experience.

So no, I wouldn't try to make a lightning payment IRL using a Tor connected wallet, nor would I use NOSTR over Tor by choice.