How would a chip socket affect the chip?
So what are some things that adding a socket for a TTH DIP part actually does, circuit wise?


It adds a bit of wire length to your traces (all equally)
It adds a bit of resistance (mΩ at most, unless corroded), which depending on the socket quality changes more or less over time
It adds a tiny bit of inductance and capacitance to your traces
It adds more space where dirt can accumulate and form GΩish resistance paths


Mechanically it does


add the possibility of your ICs falling out due to extreme vibration or temperature cycling or PCB flexing
reduce the possibility of damaging the IC due to PCB flexing


So what you have to do is to think if these are a problem for your design, which we can not really do, since we have no idea about your design. But since you are using TTH parts and with a bit of guessing, what we can tell already is:


Your bandwidth requirements are far below the case where length and inductance makes a difference
The tiny changes in resistance will likely be much lower than the tolerances of the parts you are using already


The mechanical parts are up to your liking, and then whats only left is the dirt that can accumulate, which is also preventable in other ways.

So all in all, we can say that its pretty safe. Actually if you look at quite some older good multimeter teardowns on youtube et. al. you will see that there are quite some ICs that are socket by people who know how to design even 6-7 digit multimeters.

TL;DR

You should be fine with socketing.