I went through the exercise about a year ago with some old soft dome Scanspeak tweeters. I did watch a few you tube videos explaining how to disassemble the tweeter, clean out the old fluid and install new fluid.
It turns out my Scanspeak classic tweeters were much easier to disassemble than the tweeters on you tube. Once disassembled, you use blotter paper and I think alcohol to soak up and clean any remaining old fluid in the tweeter "well" (my word) and then buy and install new fluid.
I spoke with Madisound and they thought it would be ok to not replace the fluid at all, and I believe (might not remember correctly) they said many new tweeters don't use the fluid at all. I ran them a little without fluid but ultimately installed the fluid and like the sound better.