[This is a re-write of the question addressing the update. See the original in the revision history]
TLS client auth is something that almost always requires you to extend your TLS engine by writing your own cert custom validation code on the server-end. It seems like you've avoided this by piggy-backing on the trust-store with no additional validation code.
The key question is:
When your servers are verifying the client certificate, how do they know that it's a cert issued by you, and not a cert issued by a bad-guy?.
You say:
We are importing the relevant Client certificates into the Server trust store / whitelist.
This might be ok security-wise. The first question to ask is what else is in the Server trust store, and if it will accept connections from certs other than the ones you whitelisted. Are we talking about the OS trust store containing all the publicly trusted root CAs, or is this a custom java trust store that is empty prior to you inserting your whitelist? For example, if the public CA Let's Encrypt is in the trust store, then anybody with a Let's Encrypt cert might be able to get a connection to your server.
Basically, you want to convince yourself that the self-signed certs you created are the only certs that will be able to establish a connection to the server. I have seen products that work this way, so it's not entirely far-fetched, and proper security is possible, however there are a few other things to think about. Let's first talk about the usual way this is set up, then I'll compare.
Usually, the way client-auth works in a situation like this is one of two ways:
Private CA
You have a private CA that you control. It only issues certificates for valid TLS clients. Therefore the TLS server can simply verify that the client presents a cert issued by this CA, and you know that it is authentic.
Public CA
Your clients get certificates from a publicly-trusted CA like Let's Encrypt. Suddenly, just checking that the cert was issued by Let's Encrypt is not good enough because half the internet has a cert like that, so that doesn't prove anything. Here, you want your "TLS server" to keep a whitelist of domain names of the "TLS clients". When validating a client cert, in addition to all the usual validity checking, it should that the DN in the cert matches a domain name on its whitelist.
Comparison of cert-whitelisting vs CA whitelisting
- Revocation: Normally, as part of validating a cert, a TLS engine can be configured to check with the CA to ensure that a cert is not revoked. If one of your client servers is compromised, you can easily revoke the cert at the CA, and all subsequent connections from that cert will be rejected. In a cert-whitelisting model, you can still do this by removing the cert from the trust store. A bit more manual, but equally possible. Since this is non-standard, make sure you have a documented procedure for doing it.
- Manual and error-prone: With a CA setup, you just need to import the CA cert once into the TLS endpoint, then you can issue / revoke as many certs as you like and the TLS endpoints will immediately start accepting / rejecting them appropriately with no additional config. With your setup, you will need to manually modify the trust store of the TLS Server every time you want to stand up or decommission a TLS Client machine. Avoiding the CA setup may seem like less work now, but think about the extra work over the long-term, and the added risk of a sysadmin down the line not really understanding how this non-standard thing works and blowing open the security - for example by adding a publicly-trusted CA to the Server's trust store without realizing the implications. Again, possible, but make sure you document procedures very carefully.
Summary
The security goal you want is that your TLS Clients (and only your TLS clients) can establish connections to your TLS Server(s). You can certainly accomplish this with the system you described. The initial setup will be simpler, but I predict that over the long-term the additional operational complexity will come back to bite you, either in terms of additional time and effort, or when it hasn't needed to be modified in so long that nobody remembers how it works. Make sure you prepare thorough documentation on how it works!