Multi amplification

I have been contemplating for a long time the idea of multiplying the number of amps and speakers to create a sort of headphones environment in my 16 m2 office room.
Ideally using 2 same integrated amps, one added to the other through the record output or equivalent (non subject to variation in tone or level) and ending up with (2X4) 8 loudspeakers in the room.
(This solution is the only one I consider as I am not to buy 1 preamp+2 amps to achieve this.)

My concern is that I am not sure I'm not going to create a micro delay that will alter the clarity of the sound.

What do you think?