The short answer is that transistors are not tubes, and each technology has its own optimum topology.
Waaaay back when, solid state audio amps were what you describe, transistors worked into traditional tube topologies. They sucked, partly because early transistors (especially power transistors) had little gain and wildly varying gain curves. While it was unreasonable to expect a brand new technology to sound/measure as well as something with 50 years of evolution behind it, everyone did anyway, comparing a $100 solid state amp to a $1000 Mac. But if you look inside the Mac, you see a differential front end, push-pull output stage, global negative feedback that *included* the output transformer, bi-filar windings, and other complexities. As transistor costs came down, what evolved were topologies that expolited the transistor's benefits. Tube amps sounded better with differential input stages, but very few could afford them. With transistors, the "right" way finally became the standard.
BTW, the height of tube-design video circuits had a differential input stage with a current source, voltage amp, bias string, a quasi-complimentary output stage, no coupling transformers *or capacitors*, and global negative feedback with frequency shaping. It ran on +/-200 V, and was designed by Ray Dolby.
ak