Edinburgh Cycle Hire have now added the excess charges to their website, and I see that they have tweaked the "beyond 1 hour" price for normal bikes: it is now £0.05 per minute rather than 50p (I think it was?) per extra 30 minutes.
https://edinburghcyclehire.com/how-it-works
I'm really not keen on per-minute charges, which definitely seems rather finicky, and also sort of psychologically compels you to try to hurry (you could even end up racking up quite a cost for an e-bike if you happen to unluckily arrive at a junction at the wrong part of the traffic lights phase and have to wait, which would be very frustrating). If you were paying a more reasonable sum for 30 minute blocks, it would seem fairer.
I'd be willing to pay, say 20p extra per 30 minutes on an e-bike, but now that the freebie period has finished, I really can't see many people being at all keen at 10p/minute. There's surely also a good case for something like "first 5 minutes at no extra charge" in case you have to re-dock the bike after discovering a problem after you un-dock it, or even just to fine-tune the adjusting of the saddle (much easier done when the bike is undocked).