The Bricasti is an example of engineering excellence rather than artistic expression.
Take a look at the analogue stages and you'll see that fast AD op-amps are employed to convert differential currents from the dac to balanced and unbalanced voltage sources.
This approach is technically sound and will result in good measured performance but is unlikely to please those with preconceptions that op-amps are bad, or those who prefer something more lush or warm, or conversely, hyper detailed.
On the + side, the op-amps chosen are neutral in character, and particularly well spec'd for high speed integration applications.
On the minus side, the op-amps used are 8 pin DIL so there's never going to be future plug in replacement upgrades, because future op-amps with notably better specs (and unity gain stability) will likely be SMD packaged. Of course it is still possible that Bricasti will offer complete DAC module upgrades in the future, but also likely at a high cost.
As it stands, the AD843 is probably the best op-amp available for the critical I to V conversion, but that said, and fwiw, I have actually already experimented and replaced the unbalanced (2nd) stage AD843 op-amps with LME49710's, which are arguably better for this duty, and yes there was an immediate change in character; The the top end opened up and mids and treble became more detailed with just a hint of lushness and mid treble sweetness that made older and grainy recordings more approachable. In my system it's really worked in a good way so I've left those op-amps in situ.
Other op-amps would undoubtedly give differing results but further experimentation isn't something I'm inclined to do in a hurry since I like the DAC the way it is, and in any case, even with a pro vacuum desoldering tool there's still a risk of damage to the pcb's when op-amps are changed, and without such a tool and requisite skills I would never have contemplated it in the first place.