special-mikhail Hi
Steps perfomed to troubleshoot the same :
1) Having checked the relative files and can see the code intact in your site to perform the smooth page scroll to an anchor on the same page as seen in demo site.
2) Had changed the relative file/folder permissions to chmod 755/777 in order for them to be writable
3) Checked T3 Settings for varied configurations.
Update: To replicate the same, I have tried updating T3 package and it works fine on local install with JA Resume Template. However, the issue still persists for your site. I might be missing something here as other team member could also take a look
Thanks for your patience