The OPA205 would be a replacement for the OP27, not for the AD711.
In the 34401 the OP27 is used for the precision part. That OP-amp needs low noise also at low frequencies, with a source resistance of some 15 K.
The current noise is the weak point of the OP27, especially at the relatively low frequency of 2.5 Hz for the 10 PLC mode.
The OP27 has a divider 8.2K 1 K behind it to effectively slow it down to a bit under 1 MHz. So the replacement for the OP27 should have at least 1 MHz GBW, ideally a bit more. The OPA205 is a little slower (3.6 MHz vs 8 MHz) and would thus want less divider (like 3 K and 1 K - may need to tweek it a bit) if used with the AD711. If it rings too much, one might want an extra 100 pF + 220 ohm to ground at the integrator input.
The AD711 is only the 2nd OP-amp in the integrator and essentially only needs to be fast and low current noise (e.g. any fast FET type would work).
The AD711 is a bit odd choice here. Faster would be better, but could have been a cost factor.
A slightly faster OP-amp would speed up settling / have less ringing at the integrator input which should not have a negative effect on INL. It would make the divider less critical, with an easier balance between speed and ringing for the integrator.
There are now many FET types with GBW in the 10 MHz range to choose from (e.g. OPA172, OPA197, OPA141, OPA1641). I don't like the TLE2071 very much as it gets extra supply current when saturated to one side. The OPA1677 would be OK, but AFAIK is not available in SO8.
Good combinations are:
OPA205 (in place of OP27), divider R420 -> 2.2 K and an OPA172 / OPA141 / OPA1641/ OPA197 (a bit lower power) in place of the AD711
or
OPA140 or OPA141 (in place of OP27), divider unchanged and an OPA172 / OPA141 / OPA1641 / OPA197 in place of the AD711
For my ADCs, I have (or had) working combinations with OPA145+TLE2071, OPA1641+OPA172, OPA141+ 1/2 of OPA1642. The later 2 are with a 6.8 K / 1 K divider, but 8.2 K and 1 K would work too.