I play mostly either low post when looking to exploit the opponent's interior defense, or motion, if the opponent has weak defense.
I don't agree that LP gives less involvement of your guards in shooting the ball. In fact, compared with looking at other people's LI results, I think there can be more guard involvement in LP. It would be best if I had done more LI games, to compare the results using my own players, so it's not a super strong conclusion. Still, my sense is that if you have good passing on all your players, and you have guards with good driving and inside shot, then LP can work with the bigs able to get the ball to the guards.
On the other hand, if your players are more similar to the typical builds that are out there, where guards have decent PA but poor IS, and bigs have good IS but poor PA, then LI is likely to be more effective.
I'd certainly love to hear other peoples' thoughts on this topic though!