This idea would also have its own drawback, but it allows a different path to getting that name changed in a way that's still vulnerable, but different.
With the introduction of the chatter system, it can make it a little difficult to create a new persona based off of disguise only because of the stuff that goes on in that system, especially topside. The only ways to avoid this right now either alert a major across the board and it might still not work, or undergo something that can tear away other parts of your identity.
What I propose is this: add a third (known to me) way to change the name stored in your SIC by letting cybernetic technicians of a certain high skill be able to modify that part of your chip. Not the SICID necessarily, but just the name stored in the chip. This would help free up a little more accessible name changes and attempts at disguise-related, new-persona related plots while giving cybertechnicians some more work beyond their current skillset.