Like I said, you're making up your own pattern.
I'm not making up any pattern at all. There is no required pattern.
Entering a crosswind leg, a downwind leg, a base leg, and then a final is flying the same pattern, an established and accepted pattern, and a proper pattern. That it's entered from the midfield crosswind doesn't make a new pattern.
Likewise, an arrival at pattern altitude over the numbers, where no other traffic is located, where one can view the upwind, downwind, crosswind, base, and final, is nothing more than a left turn to enter the downwind, base, and final, and follows the established traffic pattern, just like anyone else. When other traffic is on the downwind, one can simply turn in ahead of them or behind them, as appropriate, to enter the pattern.
I guess somebody 'smarter' than the rest of us thought that got too close to aircraft entering the downwind at a 45°, so they eliminated the turn to crosswind and the right turn to exit. Instead, now you make a 45° left or just continue straight out, no right turn today.
More recently, they botched the diagram too. It depicts an entry leg opposite the departure end instead of midfield. For those who can't read, entering as shown undoes the spacing margin gained when they eliminated the former departure off the crosswind. A recent fatal mid-air at Corona, CA occurred right there too.
Your god-blessed, sacred pattern changes, and you assert that it's diagrammed incorrectly, yet heaven help anyone who differs from the diagram or your interpretation thereof.
Mid-air collisions have occurred at numerous places around airports, as well as no where near airports. Think about it.
Doesn't matter. The 12.5 seconds is reaction time. Speed only determines the distance the target's away at the last opportunity to avoid, i.e., its size.
It does matter. It's reaction time at that speed at that distance. At slower speeds and the same distances, more time is available to see and avoid, and this typifies operations in the traffic pattern. You'll note that the chart you provided includes both time and distance, and speed. Change any of those, and you change the equation. Increase the closure rates, and there's less time available to see and avoid. The 12.5 seconds isn't simply "reaction" time. It includes time to see and recognize, to react, to make control inputs, and to allow the aircraft to move. Further, aircraft will move much more readily at a slower speed with a shorter turn radius, to avoid a conflict than at higher speeds.