Continental and Lycoming fuel injection systems are different. As such, hot start techniques for the two are different. Using a Continental start technique on a Lycoming won't work and vice versa. Well, it might work, but if it does it's luck.
On Lycomings, the procedure that works 99% of the time:
1) Throttle forward, mixture ICO
2) Fuel pump on (leave it on)
3) Mixture forward for a few seconds (3-4 usually), then back to ICO
4) Crank engine until it catches. Then push the mixture in and pull the throttle back. It takes a few tries before you perfect the timing on this, but it works great.
Leaving the fuel pump on is an important part of the trick, because it keeps pressure going to the mechanical fuel pump to prevent that fuel from turning to vapor.
I did this for close to 1000 hours on my Aztec (basically the same engines as the 182). Never failed. When I got the thing I was told "These things are a bear to hot start." Not if you use the right procedure.