The more transistors are treated like electron tubes the more they behave like them

For example when comparing an open base low level amplifier transistor stage to an open grid one. The transistor becomes very low noise with a high input impedance. Even biasing with 1Mohm from Vb to base increases gain but noise becomes unacceptable high see Pleiades Siemens AC151 one transistor microphone booster front end. At open base distortion is gradual too as well as overload behaviour like an electron tube. Do transistors behave like JFETS when base is left open, unbiased?