Normally yes...but I was quite serious...…..getting tied up in different nomenclature just muddies the waters.
The rules themselves do not refer to strength points, they use 'stands', so by adding them it's immediately adding another level of complexity and confusion especially for those of us who get mentally challenged in the heat of battle.
By introducing Strength points you are separating out one of the meaning of 'Stands' in the rules and I don't know if that will effect how the rules work or read to the inexperienced player (like me). A quick re-read certainly throws up areas where there may be ambiguity. ie. firing/split firing where it will require the juggling of the two terms. If nothing else we will be left with a clarifying statement along the lines of: "Strength points are analogous with 'Stands' in the rules, except in the cases where they're not".
I would much prefer that we kept the use of 'Stands' as the indicator of unit strength and have a statement like:
"All Units have a nominal strength of 6 'Stands' and for each 3 hits taken the units strength is reduced by a Stand."