This patch system would have the same problems that Noise Gate does. High room noise behind your voice. Not between words, but during words. The design would give you chopped high noise words with low-noise, well-behaved interstitials.
It would also be a nightmare to set up. Part of the attraction of a quiet room is capturing the quiet expression and theater of your voice. Noise Gate usually whacks those off because they’re quieter than the full voice.
Don’t move around while you’re announcing. Any change in your voice volume will throw the keying off.
It’s not hard to produce cellphone voice. What’s hard is getting ACX to accept it.
I produced a “Kitchen Table Sound Studio.”
https://forum.audacityteam.org/t/too-compressed-rejection/52825/22
It helps with environment noises and will kill room echoes.
Koz