These are great questions that any good skeptic / data scientist should always be asking. Here are some summary opinions based upon meta analyses with varyingly stringent inclusion criteria.
( I had hoped that the other top-level post I posted here would develop into a discussion, but these excerpts seem to have bubbled up. https://news.ycombinator.com/item?id=20919368 )
"Scientific consensus on climate change" lists concurring, non-commital, and opposing groups of persons with and without conflicting interests:
USGCRP, "2017: Climate Science Special Report: Fourth National Climate Assessment, Volume I" [Wuebbles, D.J., D.W. Fahey, K.A. Hibbard, D.J. Dokken, B.C. Stewart, and T.K. Maycock (eds.)]. U.S. Global Change Research Program, Washington, DC, USA, 470 pp, doi: 10.7930/J0J964J6.
"Chapter 8: Droughts, Floods, and Wildfire"
"Chapter 9: Extreme Storms"
"Appendix A: Observational Datasets Used in Climate Studies"
The key findings in this report do list supporting evidence and degrees of confidence in predictions about the frequency and severity of severe weather events.
I'll now proceed to support the challenged claim that disaster severity and frequency are increasing by citing disaster relief cost charts which do not directly support the claim. Unlike your typical televised debate or congressional session, I have: visual aids, a computer, linked to the sources I've referenced. Finding the datasets ( https://schema.org/Dataset ) for these charts may be something that someone has time for while the costs to taxpayers and insurance holders are certainly increasing for a number of reasons.
"Taxpayer spending on U.S. disaster fund explodes amid climate change, population trends" (2019) has a nice chart displaying "Disaster-relief appropriations, 10-year rolling median"
"2018's Billion Dollar Disasters in Context" includes a chart from NOAA: "Billion-Dollar Disaster Event Types by Year (CPI-Adjusted)" with the title embedded in the image text - which I searched for - and eventually found the source of: 
 "Billion-Dollar Weather and Climate Disasters: Time Series" (1980-2019) https://www.ncdc.noaa.gov/billions/time-series
It seems these data are mostly counted in dollars of damage or dollars of relief, which is a proxy for the severity.
Would it be correct to say there is still some question about whether dollars are a good measure of severity?
EDIT: As I am browsing the data, it's hard to disentangle actual weather events from things like lava, fires, unsound building decisions, and just the politics of money moving around.