I'm starting to get a little beyond what I actually know here and more into conjecture, just to be clear.
I'd have a hard time seeing even the worst guitar hardware and setup changing anything about the attack, really. A thin pick hitting a taut string is going to have a pretty immediate attack. I looked up "attack" in order to refresh myself to make sure I was using the term properly and decided to paste the definition here:
"In music, the term attack refers to the manner in which a note is performed by the musician, whether decisive and quick, or smooth and slow. More often, however, the word attack is used to refer to the initial part of the envelope of sound. The sound envelope also includes decay and sustain. An attack can be slow, meaning the initiation of the sounding of the note takes place slowly, starting softly at first, then coming to the full volume of the note. Or an attack can be fast, reaching full volume very quickly or at the moment the note is sounded."
https://musicterms.artopium.com/a/Attack.htm
So, like I say, the attack of a guitar pick on a string in terms of the envelope of sound is pretty immediate in all cases that I can think of.
Anyone not familiar with what a sound envelope is can read this little bit:
https://www.britannica.com/science/envelope-sound
Specifically:
"Sustain refers to the steady state of a sound at its maximum intensity, and decay is the rate at which it fades to silence."
So yes, a well constructed acoustic instrument of any kind (of which an electric guitar is one) would have a "better" sound all across the envelope. I say "better" because some instruments are not designed to have a great deal of sustain or decay, and having a lot of it would work to their detriment (let's use the banjo as an example of that, where that instruments percussive qualities would be obscured by a lot of sustain and decay).
And for all guitarist babble about "sustain for days", the guitar isn't designed to actually have a lot of it, either.
But yeah, a good "resonant" sound would have more sustain and longer decay than something in which the note dies away very quickly, which would not be perceived as being very "resonant" even on an electric guitar unplugged. A longer decay will be perceived by the ear as having more volume since the sound will be louder for longer.
And since your pickup is outputting the vibration of the string- all of the vibration, the attack, sustain and decay- having a good "resonant" would be, I'll argue, "better".
But that's not all. The attack of a note is where the fundamental frequency is strongest. As you all know, when you play a note, you aren't just playing a single note (unless you play a sine wave), you are playing a whole bunch of them. From Wikipedia:
"For example, if the fundamental frequency is 50 Hz, a common AC power supply frequency, the frequencies of the first three higher harmonics are 100 Hz (2nd harmonic), 150 Hz (3rd harmonic), 200 Hz (4th harmonic) and any addition of waves with these frequencies is periodic at 50 Hz."
https://en.wikipedia.org/wiki/Harmonic
And the fundamental frequency is (usually) strongest at the attack. Harmonics can be fragile with musical instruments, and with cheap ones, you'll get the strong note of the attack, but the harmonics will never get a chance to blossom. Think of a crappy plywood guitar, you play a note, you hear something, but it doesn't sound good. Why?
The harmonics don't develop as they should- it's dead and lifeless. Your brain won't think "oh, the third order harmonic is distorted and barely present" but your ears hear it very clearly. That's why acoustic resonance is so important with electric guitars, since it is doing the exact same things that strings do on every instrument.
It's no different than putting a microphone on a cheap, plywood guitar or a well crafted acoustic. If the notes don't develop fully, then the output does not sound good.
Back in those days, everyone knew that if you were talking about Destiny's Child, you were talking about Beyonce, LaTavia, LeToya, and Larry.