Matching for Music: Speakers or Electronics?

It is generally accepted that there are speakers that match well with certain genres of music as there are electronics (mainly amplifiers) that match well with certain genres of music.

This is arguably the biggest myth in audio. Its impossible to design a speaker for a certain genre, and there aren't any. What makes a speaker good for one makes it good for all. If anyone has a means to do a genre specific speaker, he's not come forward with how....

Speakers have more of a personality than electronics. So... speakers. 

IMO accurate/faithful reproduction is the key to great enjoyment regardless of music genre. 
As soon as you start to deliberately 'season to taste' you'll likely find the system predisposed to certain music/recordings and possibly less enjoyable with music/recordings that diverge from the former.
There's nothing wrong with the 'season to taste' approach if you love what you hear and your preference remains static.
But if you have broad musical taste - or your taste evolves over time - then dissatisfaction will creep in IME.

I listen to all types of music - pop/rock/hiphop/rap/soul/blues/jazz/classical etc as the mood strikes (with a leaning towards acoustic instruments/voice in particular).  
I can only endorse what I've owned/lived with and would recommend the ATC actives for your consideration.  My ATC actives take all genres in their stride and sound wonderful.
Of course you don't have to worry about speaker/amp matching - it's been expertly done for you.

We used to have in Seattle one block with four really good audio stores. You literally could walk across the street from one to another. When a co-worker said he was serious about learning we went and in no time flat heard a dozen to 20 different speakers and systems. We played the same few tracks. He caught on real quick how awesome trombone was on one, guitar on another, human voice, electric bass, etc. 

This guy was an absolute noob. Never done anything like this before. Yet he caught on real quick.

Its the next step, what you do with that knowledge, where things get tricky. When something sounds selectively good like this its always for one of two reasons: sins of commission, or sins of omission. It may sound good with classical because the bass is poor so they dialed it down helping the strings sound clean and clear. Sins of omission. Or it may sound great with rock because they dialed up the bass so you don't notice the harsh grainy treble. Sins of commission. 

Either way, what usually happens in the long run is we are all sinners and we all love to sin, and usually as much and for as long as we can. But sinning eventually catches up with us all. In the long run the less, the better.

After  7 decades I have NO doubt that some things sound better  with
certain types of music .  The objective is to make money and since thevast majority  of people listen to pop/rock ...............

Arvin....I disagree certain equipment works best with certain types of music.  I believe we as individuals will have a preference.  My suggestion is you focus on your ear and if you can get an opportunity to test the equipment in your house.   The objective of audio equipment reproducing music is constant...not all manufacturers do it equally well for a variety of reasons.

The different speaker types - horns, drivers, ribbon, etc- impact the listeners experience. 

As Douglas said, this is worth reading...

https://forum.audiogon.com/discussions/if-you-listen-to-anything-other-than-classic-jazz-don-t-read-...

Arvin, I never thought of it the way you described. I listen to a wide spectrum of genres and if my speakers and amp weren't up to it, they'd be replaced.

On this forum scroll down to the thread "If you listen to anything other than Classic Jazz..." 

Read that thread and you will gain some insight. 

Forget about good X for Y music.
Matchup the right components that mate well together and that will do all
music right and well.  
After that it’s mostly all personal preferences.