Right you are, Al. Classical immediately followed Baroque (Renaissance proceeded Baroque, Romantic followed Classical).
The early practitioners of "period" Baroque performance (now referred to as historically-informed) were faulted for their lack of technique and spotty intonation (playing in tune), as well as what was considered by the old guard as the "ugly" tonality of Baroque-style instruments.
The demands of Classical music, orchestras, and concert halls, required a change in the design of orchestra instruments, to make them louder and to project more. And Classical music was performed with far more string vibrato than was Baroque, and by far more instruments (Symphony Orchestras are comprised of FAR more instruments than are Baroque). Classical was also generally written to be performed at slower tempi than was common in Baroque. Conductors and orchestras over the years started performing Baroque music in the Classical style: too slow (slower than the markings on the scores), and with too much vibrato.
No, the early period performers weren’t as precise as their major orchestra peers, but they were playing the music closer to how it had been written to be played. The movement and it’s practitioners have progressed to the point where historically-informed musicians are now amongst the best in the world. And the movement has forced the conservative, old guard conductors, orchestras and their musicians, to join in, performing the music as the composer intended.
There are still those who prefer Baroque performed as they have heard it their whole lives, by a Symphony Orchestra. Each to his own!