Diaphragms don't have a frequency. If I may restate this, I think the point was that the Ti diaphragms perform well over the same frequency
range as the originals, including going down all the way to 1800 Hz where the original crossover has its turnover point. (and lower than that actually, since the circuit does not fall off a cliff at that point, but gradually falls off at 12 db per octave in both directions).
What your technician was telling you when he said the crossovers don't need replacement was that it was not required in order for the speaker to perform perfectly well with the new diaphragm.
But that is not the only reason to replace crossovers, or to recap them.
Someone else posted that the replacement crossovers were based on the idea that caps get old, but I think there's more to it than that. If that's all it is then you can recap them, and I think Bob sells cap kits if you don't want to freelance recapping a pair of Klipsches [Edit: Actually he doesn't have just a cap kit for the 4.2, but read on]. The kg's have an iron core inductor, which is a bit cheaper than air core but has some performance limitations. I suspect (have not verified lately) that Bob's drop-in replacement crossovers would change these out for air core. And the selection of caps (exactly which make and model) makes some difference in sound, at least for some speakers/material/ears. Finally there is probably a resistor in there to pad down the horn a bit and that can be tweaked as well. All of this stuff subtly changes various parts of the speaker's response curve, or overall sound if you will.
So, I agree with your technician, you don't need new crossovers for your new diaphragms, but there's a whole different can of worms you can get into after you enjoy your titanium for awhile and then get another itch to tweak and upgrade. Or not.
For now, enjoy the music!
Edit: Upon researching, Bob's crossovers have exactly the same number of caps, resistors and inductors, and the one inductor is still iron core. So they are not heavily modified. Just on first glance, they are loaded with Sonicaps though, which are no doubt higher quality caps than the originals. Perhaps other less obvious upgrades - I haven't seen any writeup on them so I'm just going off of first glance. He does nice work and those diaphragms are a blessing to the audio community! If I could ask for one thing it would be a detailed description of what goes into each of the Crites replacement crossovers and if it's modded at all, what those mods are designed to do.