You're not explaining this very well. The Move tool toggling to the Crop tool when hitting V? That doesn't make any sense.
Just guessing, but trying to piece together what you're saying, it seems checking "Shift Key for Tool Shortcuts" might solve your problem. Then the shortcut will always go to the tool at the top of the group - which is also the one showing in the toolbar.
Or maybe turning off "Spring Loaded Shortcuts"? This is a feature that loads the tool as long as the shortcut is held, and then returns to the previous tool when the key is released. There is also a timing setting for this in Preferences (how long the key initially needs to be held for the return to happen).
Nothing about tool shortcuts has changed to my knowledge.
Just guessing, but trying to piece together what you're saying, it seems checking "Shift Key for Tool Shortcuts" might solve your problem. Then the shortcut will always go to the tool at the top of the group - which is also the one showing in the toolbar.
By @D Fosse
That's it. Had just found this post before responding: https://community.adobe.com/t5/photoshop-ecosystem-discussions/selecting-a-tool-with-shortcut-changes-it/td-p/13090489
And @Conrad_C Posted the correct answer in that thread.
This was obviously caused by preferences not coming accross after upgrading (question 3 in my post above) so have noted this as another preference to check after upgrading in future.
@D Fosse Honestly, I explained that hitting tool shortcuts was toggling through all tools in the list in almost every post - some had screenshots and everything! Sesh.
Will mark this post as the correct answer as it links to the answer thread.