The pros and cons of triodes vs screen grid tubes like pentodes and tetrodes are well documented elsewhere.
When it comes to low and medium power tubes both triodes and screen grid tubes are readily available. At the really high power levels like kWs it seems to be an all triode show.
- Are high power say pentodes difficult to manufacture?
- Is it inconvenient to have more connections to the glass envelope when voltage clearances are considered?
- Are screen grid tubes more likely to flashover?