oscilloscope - Why doesn’t the focusing anode diverge the electron beam again?

Consider this diagram of a focusing anode in a CRT:

Question: Why does the electron beam not diverge again when it enters the focusing anode (or accelerating anode) while leaving the pre-accelerating anode (or focussing anode)?

I think the answer is that it does diverge but less than it converges at both entrances. And since it converges first, the resultant is relatively convergent. The following is how I show it, is the diagram below correct?