Instead of continuing a dialogue on this via PMs asking about my comments from past posts on this topic, here are the answers to your questions...
Master Cylinder pressure sensed brake controllers (several after market have gone out of business and repeat I'll not touch my TV's brake hydraulic system for anything like this) has the trailer brakes lead the TV's brakes because of the PSI build up ramp.
Meaning that the brake pedal stroke has the MC PSI build up over the distance of that pedal rod stroke (there is time curve on that too). The TV's brakes won't be doing anything till a min level of braking system hydraulic pressure is attained....but if the IBC senses MC PSI and is set to 'sense' a lower PSI...it will turn on the trailer brake controller before the TV starts to brake.
Once the MC Pressure builds to the point that the TV's friction materials PSI is high enough for them to create friction on the cast iron (get into the braking game)...the trailer brakes has already been braking. Of course this requires that the trailer brakes and wiring are in good order
Here are a couple curves showing graphically what am talking about
Rod stroke vs wheel brake PSI...this curve shows the brake pedal to MC rod travel distance vs PSI developed
Brake system PSI over time or vs TV brake pedal stroke
Pascal's Law (hydraulic pressure ratio) showing why the MC piston stroke must be much longer before the brake caliper/cylinder even moves enough to press the friction material hard enough onto the cast iron to create braking friction
That is the 'seamless' comments vs my comments that most folks who complain about their after market trailer brake controllers 'buck', 'bang', etc does NOT have their system set up correctly
While the accelerometor sensed (P2/3) relies on the deceleration of brake controller sensor *AFTER* it has been turned on
Meaning that they sense the TV brake pedal light switch and a properly setup brake pedal switch will turn on the P2/P3 *BEFORE* there is ever any MC pressure generated (turns on the P2/P3 before the IBC will turn on)
Really boils down to how closely your TV brake pedal switch can be or is setup vs brake pedal movement.
GM has a nifty switch that senses (trips my P3 on) with less than 1/64" movement of my brake pedal and about 1/16" before the MC piston rod engages to *START* developing MC PSI...
Not saying the P2/P3 are better for EVERYONE, just me...and again, I'll not touch my braking hydraulic system...nor do I like 'HIGHLY INTEGRATED ANYTHING' for my vehicles...