KSCessnaDriver
Pattern Altitude
Depends on what weight you are taking off at. At my typical flying weights, I would consider it depending on speed at failure and conditions ahead as I have performed tests that show me I still have reasonable ability to climb on a single engine, and indeed proved it out in another 310 years ago that considering I had over 7000 of runway left, I should have just landed ahead after failure right after rotation. Pt 23 doesn't make any requirements for SE climb nor does it require testing for any abilities below gross weight, that does not mean the performance doesn't exist. This is where multi engine flying is more complex than single engine, you have more options which requires more thought as to which option one should choose where along the path when something happens, and all this needs to be figured before the throttles go forward.
That's great, when it's your airplane and you can go out and test the thing. When you're flying somebody's airplane, you don't have the luxury of being able to go out and play with it. If I owned a piston twin, I'd probably play with it and see if I could come up with a reasonable V1 speed, but it's just not practical for anyone.
By all means, I'm not saying its wrong to have a V1 in a piston twin, it just doesn't make a whole lot of sense to me. The window from when you hit V1 to VR is extremely small.