Often the so called “delay” is due to the interference patterns caused by the SOUND waves bouncing around your square (ish) rooms. As these waves travel slowly, your ears can be fooled into hearing a wave that has been bouncing around the room for a few hundred ms. The actual incoming waves are traveling so fast (~300,000 KM / sec!) that on a human scale this is irrelevant! (also, it would make listening to radio in the car a bit of a pain……..)
As mentioned the DAB decoding chips may use different buffer sizes between models, but as the incoming data stream is 128kbs, any actual processing delays (checksum, signal PPL etc) are not audible to the human ear.
So, if you buy two of the same model it will definitely work, but i’m still not really sure why you need two radios tbh?