Pros and Cons of built-in amps?

Are we sure that studio use active speaker for sound quality reasons? Maybe it's for convenience or something else.

Try proaudioreview.com (?) and they commonly rave about the sound quality of passive speakers running Chord or Pass amps.
I prefer active speakers, but don't really think "sound quality" as audiofiles define it is what studios have in mind. More like:
1) Mixes that will sound good on a variety of stereos.
2) Elevated presence region to better hear faults in the recordings.
3) Ability to play super loud. Like 110-120dB all day.
4) Reliability: play at 110++dB ALL day without a breakdown.

Things like:
1)"truth of timbre".
2) grain-free sound
3) not bright highs
4) dynamic range
5) attack and decay
6) "air and space"
7) "fleshed out" sound

are important for home listening but less so in the studio.

Thanks Dave, here are the links:

Pass Labs XA30.5 Studio Amplifier

Chord SPA 1424 Mono Power Amplifier

However, your idea that studios want a colored sound with greater prescience or other gimmicks added to the playback chain could not be further from the mark.

Actually I was told this by the Tannoy factory rep on their pro monitors vs. home speakers.