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At least not for every character. There is more underlying the two attributes than meets the eye. Below, I've gathered sufficient evidence to debunk the notion that the two characteristics scale linearly.
I would like to finish up this theory with the quote below:
Anyways, hopefully you enjoyed the read!!
In this scan, Goku makes a clear distinction between speed and power, as if one isn't necessarily the same as the other.
Interestingly, even in amplified Chi attacks the principal of speed correlating with strength isn't at all relevant.
Goku explains that the Kaio-Ken amplifies the attributes of the user. However, in order to amplify all three, one has to get the technique just right. The interesting thing about this quote is that by increasing your power doesn't mean that your speed & destructive force will all increase. They are three very different characteristics that don't work completely in tune with one another.
Ginyu's battle power is 120,000 while Burta's is only 40,000ish, yet Ginyu regards him as the fastest in the Universe.
A battle power of 90,000 is even quicker than one of 120,000. A fairly clear distinction that works against the norm.
Despite having a battle power 33% higher than Goku's Base form, Ginyu clearly feels that Goku's body is faster than his own. Again, this works against the notion that battle powers work on a linear scale.
Goku was already aware of Frieza's overwhelming power, but he didn't quite except Frieza to possess such tremendous speed. If Frieza was already a ridiculously powerful tyrant, it would be an obvious expectation for his speed to be equally formidable; to Goku, that wasn't originally the case.
Piccolo has sharpened his 'speed' not his power.
Despite Frieza being in an entirely different weight than Piccolo in terms of power, Piccolo makes the adherence that just because Frieza is more powerful, doesn't necessarily mean he's stronger. One of the quotes above makes it clear that Frieza is fairly quick and agile for his battle power, while someone like Ginyu is not.
A great example is the quote above. It makes the clear distinction that I'm siding with; speed does not correlate with power on a linear scale for everyone. Android 17 is quite nimble for someone of his battle power -like Frieza, but he's not strong in comparison to another.
Semi-Perfect Cell fully expected for his battle power to shoot up, but he didn't expect his speed to shoot up quite so far. He remarks that his newly found speed is 'magnificent' which supersedes all original estimates he had; or, battle power correlates with speed on a linear scale.
The greatest example of this is the time when the Saiyans first achieved their Grade II transformations. Their power shot up drastically but their speed didn't.
Perfect Cells power that he used against Goku is sufficient in harming and owning someone on Kid Gohans level. The only difference between the two is speed; hence why Perfect Cell goes on to call Gohan a 'quick little brat', because he can't hit him. It's not Perfect Cell stating that he isn't currently powerful enough to defeat someone of Gohan's calibre.
Out of anger and disparity, Cell increases his strength as much as possible without the realization that his speed can't keep up. Yet another clear distinction.
Even during the events of the Majin Boo saga, the notion is obvious. The Fat Majin Boo increased to such a drastic level that he was able to single handily single shot Gohan Ssj or Ssj2 had serious trouble with. Yet Gohan felt compelled that he could outrace Boo. Sure, he was wrong. But that doesn't take from the merits of the argument; speed does not correlate with strength and the characters themselves realize that.
Piccolo wishes to test out the speed of Gotenks to see where he stands because he knows that speed doesn't correlate with strength; that still isn't suffice to suggest Gotenks could actually beat Boo. :elmo
I would like to finish up this theory with the quote below:
The argument here is that speed rises as Chi increases. But it doesn't necessarily mean it rises at the same amount, all the time, for every character. There are different factors that come into play, such as, species, Chi control, battle power & potential, et cetera. Just because a particular battle power of 120,000 is 33% higher than one of 90,000 doesn't mean it's an instant victory for the higher battle power. Frieza versus Goku Ssj comes to mind.
Anyways, hopefully you enjoyed the read!!
