It is opaque to me how the choice of Local server per se typically affects import and deployment reliability. Common live web servers are Nginx, Litespeed, and Apache.
I would like to know which server combinations typically work and which typically do not.
Let us say I want to build a brand new Wordpress site in Local, and then deploy it to a live Litespeed web server. Which Local server should I choose?
Let us say I want to import an existing Wordpress site from a live Apache server, edit it in Local, and deploy it to a new live Litespeed web server. Which Local server should I choose?
LiteSpeed is a drop-in replacement for Apache (i.e. it can interpret .htaccess files too), so you can continue developing on Apache locally (i.e. MAMP) and push to a LiteSpeed server without any issues at all.
The work for adding Apache as an available web server is in the next sprint, which starts April 27th and lasts two weeks. They expect to have this feature released by the end of the sprint May 11th.