Autopublish for "legacy" Helix Solution doesn't work

[Antonytm]

I want to create a new Sitecore Helix MVC solution with auto-publish.

VS version: Version 16.10.3
Sitecore Helix Visual Studio Templates version: 22.12.1314

My steps:

1. Create a new solution using Simple "legacy" Helix Solution - Support for "CLASSIC" project style(example)

2. Check Auto-publish solution on local build

3. Set Publish to file path to C:\Websites\my.sitecore.local
   

4. Add a new project to the feature folder use Sitecore Helix Module - "CLASSIC" project style (example from 2017)
   

5. Build solution

Actual result
Publishing project Feature.DefaultName2 to /. in build output.
And configuration of the new project should be published. However, when I wasn't able to where it was "published".

Expected result
Publishing project Feature.DefaultName2 to C:\Websites\my.sitecore.local in build output. Files are present in that folder.

6. Create view and run solution build again

Actual result
Publishing project Feature.DefaultName2 to /. in build output.
An added view should be published. However, when I wasn't able to where it was "published".

Expected result
Publishing project Feature.DefaultName2 to C:\Websites\my.sitecore.local in build output. Files are present in that folder.

7. Add a new project to the feature folder use Sitecore Helix Module with Unicorn - SDK PROJECT STYLE (example)
   

8. Build the solution. It is failed, but once comment line 5 in Templates.cs using Sitecore.Data; - it starts to work.

Actual result

Rebuild started...
1>------ Rebuild All started: Project: Feature.DefaultName2, Configuration: Debug Any CPU ------
2>------ Rebuild All started: Project: Feature.DefaultName3, Configuration: Debug Any CPU ------
Restored c:\source\helixtest\7\defaultname1\src\Feature\DefaultName3\platform\Feature.DefaultName3.csproj (in 2 ms).
1>c:\source\helixtest\7\defaultname1\src\Feature\DefaultName2\code\Feature.DefaultName2.csproj(122,3): warning MSB4011: "C:\Program Files (x86)\Microsoft Visual Studio\2019\Community\MSBuild\Microsoft\VisualStudio\v16.0\WebApplications\Microsoft.WebApplication.targets" cannot be imported again. It was already imported at "c:\source\helixtest\7\defaultname1\Directory.Build.targets (16,3)". This is most likely a build authoring error. This subsequent import will be ignored. 
2>Feature.DefaultName3 -> c:\source\helixtest\7\defaultname1\src\Feature\DefaultName3\platform\bin\Debug\net48\Feature.DefaultName3.dll
2>Publishing project Feature.DefaultName3 to /.
1>  Feature.DefaultName2 -> c:\source\helixtest\7\defaultname1\src\Feature\DefaultName2\code\bin\Feature.DefaultName2.dll
1>  Publishing project Feature.DefaultName2 to /.

Expected result
Files should be published to C:\Websites\my.sitecore.local

P.S.
I have tried different combinations of solution type and project type from Helix templates. But I wasn't able to find a working combination.