> With local apps there are issues of updates, security and platform lock-in. No such issues with web apps.

With web apps there are issues such as vendor lock-in of your data (like doing accounting in a webapp) try getting your data out.

Vendor updating to a new non functional version of their web app while you liked the old one.

Security issues because your data is now on the internet instead of on a local PC.

You are just trading one set of limitations for another and also removing your ability to address issues by yourself.