Full instrumental bands aren't as popular as big bands like the holy trinity(Rush) but there are still a lot of instrumental acts out there with talent and staying power. For example:

Explosions In The Sky(personal fave)

Masayoshi Takanaka

Polyphia

Steve Vai

Russian Circles

This Will Destroy You

Godspeed You! Black Emperor

Many more too. Most of those acts have been playing for 10-20+ years and I'm not even naming all the ones I listen to on the regular. Angine de Poitrine has a good chance to last as long as they keep making awesome and weird music. I sincerely hope they do cause they sound amazing.

A lot of popular EDM is instrumental.

Depends on what you mean by “popular and lasting”. Rush came up in a different period. The definition of success was quite different because there was no internet, there wasn't the concept of virality, there weren't as many opportunities to attract and build an audience.

Look at Phish today. They built their following on the internet, they rose to a reasonable level of popularity, but only have one real traditional radio airplay hit song. And yet here they are 30+ years on, able to play the Vegas Sphere, and MSG. The prototype for a self-built audience was The Grateful Dead. They built their audience, they sold records, and had only a few radio airplay songs like Casey Jones and Touch of Gray.

The definition of success can be very different depending on how you look at it. Today more than ever success isn't defined in the same manner that it used to be. Streaming plays, live performance, etc. have replaced the traditional measures that Rush and The Grateful Dead came up under. Today, Angine de Poitrine can be more like Phish with a dedicated audience that will follow them.

And, as for them being instrumental, I'll defer to the (excellent) list @tetrachromac@lemmy.world provided below.

Why does that matter? Can they not be said to have made an impact if they don’t last 30 years?