Had a go at your file, with the large ACIS spring its actually doing pretty good, except your top command scale is 0.99, so the bottom command scale should be 1.01 not 1.1,
The counterweight spring - that was a different matter, the ACIS moves out of position a bit whist scaling, this is not your drawing its just something that happens with animated ACIS scale, its not much so may not be noticeable, (I use 0 to 10 scale y 1.01, and 11 to 20 scale y 0.99, however the killer for me was on my aging computer about 5yrs old now) it took over 11 minutes to animate, so I exploded the centerweight spring to an TC surface, relocated ref point to the inside of the shorter bent end, and it animated correctly in around 3 minutes.
so if it was me, I'd turn up the ACIS faceter settings (move slider) to about 70% then explode the centreweight spring to a TC surface, and relocate ref point. . the drawback with that spring is the long end, which will increase in length when the whole spring scales, not a lot you can do about that, you could slice the long end off, scale the spring and move the long end to compensate, but is it really worth the hassle,
Your new computer is probably a lot faster than my old one, so I'd suggest doing you own tests to see what times you get with ACIS and TC surface - don't forget this file is just the springs so you want as shorter time as possible.