Huh, the 6cg7 is functionally the same as a 6sn7. You could put those into the 6sl7 slot and not need any adapters. Of course good versions of those are quite a bit more expensive. Thought @L0rdGwyn said the 6sn7 wasn’t compatible? I guess since you’re limiting the type of headphone it’s working ok for you.
Since you already have the adapters you might want to try the 6kn8. As far as I can tell they were only Japanese made regardless of the branding. It has a gain of 45 so should work just fine. It’s an amazing tube and can be found at very reasonable prices.
Well the gain is very low relative to a 6SL7, and given the topology of the output stage, the amp requires a high gain input tube for any significant amount of power output. If using with insensitive headphones, they will be okay from a gain standpoint. The other concern is the core airgap of the anode chokes. It's 5mA. So assuming they bias at less than or equal to 5mA, they should be okay. Could perhaps go a little bit over, you just don't want the choke cores to saturate. But I'm not comfortable saying they are compatible and putting them on the sheet given the operation of the amp is significantly altered while using them.