Actually, UL is frequently EASIER on the screens, than pure pentode mode. This is important, because one of the MOST COMMON output tube failure modes, is screen failure!
Everything else equal- the screens will have LESS peak current in UL mode, than in pure pentode mode. This is because the screens are allowed to go down in voltage somewhat, as the plates drop in voltage (and as the plate current goes up), due to them being on a tap on the primary winding. This means there is never a situation where the plates are near zero volts, and the screens are still at full B+. This reduces the current through the screens, significantly.
In a 43% UL mode- the screen voltage would go down to 57% of the idle screen voltage, at max conduction. That means in a typical KT88 application- even with 500V on the plates- at max condution- where it really matters- the screens are only at 285V, when the plates reach zero volts. Most pentode designs using KT88s use FAR more than 285V on the screens- usually, at least 300V- to as much as 400V or more- on the screens is very typical. In this case, the UL amp will have SIGNIFICANTLY less screen current at full conduction!
In fact- there have been cases, where "pseudo UL" (low ratios of screen taps) have been used for the EXPRESS PURPOSE of allowing a tube to be used in a situation, where it couldn't have been in pentode mode- just because of screen limits. The Fender Bassman 70 is an example. 500V screen voltage on a 6L6GC wouldn't normally be allowable in a pentode-mode circuit- but the RCA manual specifically says that 500V screen voltage is actually OK, as long as the screen is connected to a tap on the primary, so that its voltage will drop to no more than 450V when the tube is at full conduction (plate is at zero volts, effectively). These amps have quite decent tube life, especially for something run that close to the design limits...
This is also the reason why a tube like an 807, can have 600V on the plates, but only 300V on the screens in pentode mode- but, is perfectly fine with 400V on the plates AND screens, in triode mode (plate strapped to screen). The extra 100V rating on the screens, is because the screens track the plate voltage... the screens are never at a higher voltage than the plate. This is why people can also get away with running 400V, or even higher, B+ on 807 UL designs- the screen is never seeing full voltage, at max conduction, there, either...
So, the whole thing that was quoted above, about pentode mode being "easier" on the tube- is actually completely backwards, in reality... it's the hardest possible use of the screens...
Regards,
Gordon.