Phase rings on tweeters--better "highs" without?

I read recently, in a popular free tweeks listing, that by removing tweeter protection wires, screens, phase rings, etc.. a person can improve the high end sound of a speaker. My speakers sound a bit "veiled" --could a simple operation such as this improve the highs, or possibly distort things?
It will change the response by changing the dispersion. If you remove the phase ring then you will likely end up with too strong a signal directly on axis and an even weaker response off sxis.
I'll try it on my Avalon diamond tweeters and see if it works.
Take wire cutters to mine,no thanks
I would be reluctant to re-engineer a tweeter.

Maybe adjust setup / room for help?

Disclaimer:: This coming from a guy who is dying to put his Maggies in a real wood frame and rebuild the crossover.
These folks say do it.I wonder if they will replace the tweeters that sound bad after you remove it.LINK>>[]
Absolutely, do it. The engineers who design speakers know virtually nothing, and the computer design software that is available is virtually worthless. Time delay spectronomy being the emperor's new clothes of test procedures. Heyser really got it wrong. Facilites like the NRC in Canada that are purpose built for the testing of speakers are useless excuses to burn money for no reason at all. You are much more qualified to re-engineer your speakers than overpaid designers and so-called engineering types.
It would be a lot easier to decide if the mod is reversible.