Tubes really need to warm up before use. Just ask any guitar player. The effect with solid state gear is much less pronounced (and even debatable), but tubes definitely need to warm up before sounding their best, or even listenable sometimes.
Oh, and most recording studios do NOT still use analog tape. Some big budget stuff will still mix to tape, or track to tape before dumping to digital for overdubs and mixing, but tape is slowly going the way of the dinosaur.
Oh, and most recording studios do NOT still use analog tape. Some big budget stuff will still mix to tape, or track to tape before dumping to digital for overdubs and mixing, but tape is slowly going the way of the dinosaur.