I have not used recent production small signals tubes in anything owned/listened to for the past 20 years (with a few exceptions), so no opinion on the GL’s.
The later production Orange Globes were always one of my go to’s for the input tube in an Audion Night Silver Night 300B SET and also for a Consonance preamp that also used 6922 types.
It was a "go to" for balanced harmonically rich sound, but with more detail than some/most of my favorite Mullard types.
As you said you liked the Sovtek’s (aside from the bass) I figure that they might be what you are looking for.
They should be richer/fuller (still detailed), but with more bass bloom.
I would not recommend 7308’s for anything other than systems using FULL range speakers as they all seem to be shy of mid-bass.
When selling off my 6922 type collection (years ago) I noticed that satisfied buyers of the 7308’s all used large full range speakers (sans powered woofers and/or subs) which makes perfect sense to me.
However, they could work with a simple (non active) satellite/sub setup in which the stand mounts have a substantial mid bass bump/peak (like vintage LS3/5a’s) as they might help better blend the subs with the speakers.
I have other rec’s (my taste), but they would probably be too thick/full sounding for your taste.
What speakers are you using?
DeKay