To get alacritty to work with remote hosts:

$ infocmp > al.txt
$ scp al.txt <user>@<host>:~/

# On the remote host:
$ tic -x al.txt

What does “tic -x” do?

$ man tic
...
       -x   Treat unknown capabilities as user-defined (see user_caps(5)).  That is, if you supply a capability name which tic does not  recognize,  it  will  infer  its  type
            (Boolean,  number  or string) from the syntax and make an extended table entry for that.  User-defined capability strings whose name begins with “k” are treated as
            function keys.
...

One liner

Note: this is stolen from the archwiki

$ infocmp | ssh "$user@$host" 'tic -x /dev/stdin'