The chimney builders we have been to so far said that we need an RLU chimney (probably also because of our LAS chimney)..
I’m not an expert, but I can’t imagine that, since the LAS is supposed to ensure that no window in the room needs to be opened. Regardless of the heating insert and air pressure problems.
Are you planning a residential ventilation system? If not, according to our chimney sweep, neither a certified heating insert nor a pressure monitor is needed (provided the kitchen is open and the extractor hood vents outside without a contact switch).
Please contact your local chimney sweep and ask him about the connection between LAS and a certified heating insert. He carries out the acceptance of the heating system, so his statement is decisive for you.
A certified heating insert does limit you a lot, as you have already noticed.
The chimney builders must have already given measurements on how much the chimneys would protrude into the room?