Derek Ortt wrote:Ivan had a slower rise in pressure before landfall than Katrina, but the rise was more rapid (very similar to Dennis)

Ivan had a slower rise in pressure, but the rise was more rapid? So, was it more rapid, or was it slower?

Reading it again, did yo umean Ivan had a lower rise in pressure (as compared to "slower")?
The fact is that we can only assign an intensity to the tornado based on hard data. Estimates, particularly from the public, can be horribly inaccurate, and there is a very strong tendency for people to overestimate wind speeds, especially once the wind speeds exceeds 40-50mph. Doppler radar data is a remote measurement source, which also creates problems. There are a lot of assumptions about things like power density distribution, weighting functions, data windows, etc, used in the signal processing of said data that create various sources of error. In other words, you only trust velocity data to a certain point (e.g. because a bin or gate indicates that the MEAN wind in the sample is 50 m/s does not mean that the true mean wind was 50 m/s). In addition, to accurately measure SURFACE winds, you really want data as close to the surface as possible. Sure, you can use "standard' reductions, but those too are estimates.
Of course, we don't have anemometers at high enough spatial density to really let us be confident that the highest winds were measured. So, we need to rely on estimates (such as Doppler radar data) and proxy data (such as damage assessments). The later should only be performed by trained experts, since looks can be extremely conceiving. As research on tornado damage has indicated, the integrity of a structure has a pivotal impact on the degree of damage experienced. For example, there were some areas iht by the La Plata tornado in 2001 (I think 2001) that were preliminarily rated as being F5 damage (winds above 261mph). More extensive examination of this damage (using engineering principles and knowledge) revealed that the actual winds were likely only in the F1-F2 range! Yes, a house knocked completely off it's foundation (commonly thought as F5) was determined to actually have been caused by only 110-120mph winds. How so? The houses had almost no anchoring to the foundation, so they literally "slid" off their foundations. So, areas preliminarily rated as F5 were later revised to only having been F1-F2.
What's my point? Detailed examinations of the structural integrity of a damage building needs to be performed to determine an accurate estimate of winds used to produced the damage. This makes me extremely hesitant to conclude anything based on pictures or video seen on TV, in newspapers, or online. This also leads me to be very cautious about accepting someone's damage report and their own 'estimate'. I realize that there are building codes used in hurricane regions that may help standardize the engineering integrity of buildings, but there's still a lot of variability. Just because a house is de-roofed and an outside wall is knocked down does not automatically mean that it faced 140mph sustained winds. In addition, that brings up another point... The change in the wind can have a significant impact on damage produced. Therefore, it may be the repeated battering of high GUSTS that produces severe damage, which doesn't really tell you much about the SUSTAINED winds experienced.
No offense to anyone, but just because someone wasn't at your house or with you to experience the winds does not mean that they don't know how high the real winds were. I've read this argument several times lately, and I just don't get it. There is a known tendency for people to want to think they went through the worst that mother nature can dish out. It helps us think that we can trump nature. By now means I am this to be unsympathetic or insensitive! I truely feel for those who experience the wrath of a hurricane. However, very few people have ever experienced high sustained winds (in the cat 4 or 5 range), which may help contribute to the fact that people tend to (sometimes drastically) overestimate wind speeds. I'm NOT saying that someone's estimate may not be accurate, but I have to base my own thoughts on available data. Remember, kinetic energy of the wind increases as the square of the velocity increase. So, 120mph winds have a lot more energy / power than 90 mph winds. This means that increasing the winds from 120 to 130mph should look like a much more significant increase than an increase in winds from 80mph to 90mph. Heck, I'm sure I've overestimated some winds at times, and I will willfully concede that wind damage experts can more accurately determine the probable wind speeds after the event than I can estimate during the event. I don't have a problem yielding my estimates to those who have much more experience measuring and estimating winds (i.e. damage experts like Tim Marshall). I don't know enough about engineering principles (and probably don't have plans to thoroughly examine such subjects) to say with any confidence that my estimate is truth.