???
I think you guys are bogged down in the rules of the games more then anything. Both games have rules, that while one is TT and the other is PC, there is some core values that connect the two.
Hit locations
Armor and internal structure
Hitting from a particular angle leads to an increased chance of hitting x location
Weapons have ranges, some have min ranges
Units have known maximum movement values and modes
Initiative has rules
If you can mentally adjust for the differences between the games, mentally, do you feel that your time spent making decisions is faster in the TT game or PC game? The values of heat, armor, and damage are different, but the concepts are very similar. The whole knockdown to make called shots on the CT is different, but you are really looking to exploit the rules for gains, without cheating. That is similar to stacking a load of damage onto a unit while using the expanded rule that increases the TN to remain standing after taking 20 damage in a turn. The concept is similar, except in TT you are pushing for falling damage, while in HBS you're looking for a CT shot.
To refine the question a bit more would be, "when playing HBS do you find yourself spending more or less time calculating the impact of the variables before committing to the movements of your selected units then when you are playing Battletech/ Total Warfare?"
Also, do you believe that playing HBS BT has had, or could have, a positive effect upon the pace of your decision making in CGL BT? Adjusting for differences between the games.