Yes, afraid it does.
Modbus is, simply put, just a pair of wires with lots of things connected. One is the ‘master’ (in this case your WaveShare adapter) and the rest (in this just just the one inverter) are the ‘slaves’. Only the master can initiate conversations on the bus. The master ‘shouts’ down the wires, with a package that contains a slave ID and a request to read/write and the register addresses. The slave that matches the ID responds, either by replacing a register value with the new value (write) or by reading the register value(s) and sending them back down the wires (read) by shouting back.
So, in order to get anything out of the inverter (as a slave) you have to shout at it and listen for the response. The problem: your WaveShare shouting and listening at the same time as the Social Energy doing the same.
That said, I don’t know much about your SolaX inverter, but a search suggests that it supports ‘pocket dongles’. These look as if they plug into a dongle port, separate to the RS485 port. My inverter only has RS485 as output comms, however if your inverter supports RS485 (for the SocialEnergy) and it can support a LAN/WiFi port via a dongle at the same time, then you may (I say may) just be able to read/write to the inverter that way at the same time (the conflicts being managed internally by the inverter).
Worth looking into just what the dongles can do perhaps?
https://www.solaxpower.com/monitoring-dongles/
Inverters and Modbus is really not ‘plug and play’ I’m afraid. The best you get is cannibalising a LAN cable and wiring one end in to an adaptor with screw terminals (and if you are lucky - one that has switchable terminating resistors built in).
I have used one tri-port device successfully, but it was a) expensive and b) needed configuration and experimentation to set it up. My search yesterday found stuff on aliexpress (try two master one slave Modbus hub) but I would not have high expectations myself.
TBH, the Pocket Dongles look like a much better route. These apparently support direct Modbus TCP, so you could get direct to the inverter without needing any other adapter.
https://kb.solaxpower.com/solution/detail/ff8080818407e2a701840a22dec20032
You would have to find out just what these dongles can do, but I note that the documentation suggests a 10 second real-time lag, so I am kind of guessing that the inverter will buffer the registers, which is how it manages to avoid issues with other RS485 devices talking at the same time.
Good luck!