I believe some people have already made an attempt at that. You might even find posts on this group.
The hardest thing to get right is the matching of the two transistors in the differential pair. If these aren't
matched you get feed-through from IABC to the output. What that means is as control current
changes a DC shift appears at the output. That produces ticks and other undesirable artifacts.
What you need to do is match Vbe at a few currents. Ideally the gains also match.
The diodes are probably best implemented using the same transistors you are using throughout. To form a diode connect the base to the collector.
Beyond that you would need to design the circuit from scratch rather than just copying the internal schematic. For the current mirrors you ideally want matched parts there as well. Matching means it will work well over the entire range of IABC. You can sometimes put matched emitter resistors in the mirror to help matching at high currents but they don't help at low currents. I think this has been looked at on the group also.
Using monolithic transistors or matched pairs can help but it can blow-out the cost and it certainly restricts sourcing the parts. You have to trade that off against manually matching parts. Manually matching is helped by buying parts from the same batch.
Here's one of the old threads,
https://www.diystompboxes.com/smfforum/index.php?topic=87319.0