It depends on the design of your statusline.lua and knowledge about Lua' module loader system.
It looks, because i have to riddle about statusline.lua, that it nothing returns.
Because the return is going into package.loaded and same require in same session looks first there for statusline
So give following a try...
-- statusline.lua
print('message from statusline.lua')
return 'message from package.loaded.statusline'
I have tested above with...
$ lua -i
Lua 5.4.4 Copyright (C) 1994-2022 Lua.org, PUC-Rio
> require('statusline')
message from statusline.lua
message from package.loaded.statusline ./lua/statusline.lua
> require('statusline')
message from package.loaded.statusline
> require('statusline')
message from package.loaded.statusline
EDIT
Another design for doing something usefull...
-- ~.config/nvim/init.vim
lua print("init.vim")
lua dump = require("dump")
And...
-- ~/.config/nvim/lua/dump.lua
local dump = function(tab)
for key, value in pairs(tab) do
print(key, '=>', value)
end
end
return dump
Than you have a table viewer and you can see where the functions and tables come from with...
:lua dump(_G) -- The global environment table
:lua dump(vim) -- The nvim stuff (aka Module)
:lua dump(vim.api) -- The nvim API functions (aka Library)
:lua dump(jit) -- The Just In Time Compiler ;-)
:lua dump([Table Name]) -- Any table that looks interesting
:lua dump(package.loaded) -- The required or requireable stuff
Above function can be executed without defining dump first with: :lua require('dump')(_G)
So: First require loads dump.lua into package.loaded.dump and returning it and every further require returning: package.loaded.dump
If you have an sharp eye than take a look on _G.dump thats only a reference (pointer/link) to package.loaded.dump.
EDIT2
Preparing dump.lua for using it with vim.api.nvim_input()
-- ~/.config/nvim/lua/dump.lua
local dump = function(tab)
local tmp = ''
for key, value in pairs(tab) do
tmp = tmp .. ('%s %s %s\n'):format(key, '=>', value)
end
return tmp
end
return dump
Now the dump function returning a string and the output can be loaded into nvim with: :lua vim.api.nvim_input('i') vim.api.nvim_input(dump(vim.api))
Since many nvim API functions returning a table the dump function becomes handy with...

:help lua-guide-modules(recommended read), Lua caches the modules on firstrequire. So you will need to invalidate the cache whenever there is any change in runtime. Run:lua package.loaded['statusline'] = nil. Or usedofileas an alternative.