Google's John Mueller was asked if sites that are verified with Google Search Console get crawled more often or at a higher priority. The answer is no, "crawling is independent of Search Console," John said.
Here are those tweets:
Crawling is independent of Search Console.
— johnmu: nothing is permanent, use 302 always 💫 (@JohnMu) October 28, 2022
Yes, you can use the URL Inspection tool to manually push URLs to be crawled faster but that is on a URL by URL basis and must be done mostly manually. Otherwise, just having a Search Console account won't lead to expedited crawling.
Forum discussion at Twitter.
