@nshki I don't think is one or the other decision. in my case depends if I want to keep my records secure and independent of the email provider, basically if they are important to me or not. The search functionality is not a factor since I keep them organized - kind of inbox-zero
I have a mix:
- for my domains I use #Thunderbird, kept a copy on the server and download the messages locally
- for work, I do use only webmail - it's a Google workspace, I rely on their search engines